#### Results in Journal Earthline Journal of Mathematical Sciences: 135

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Published: 26 February 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 187-207; doi:10.34198/ejms.6121.187207

Abstract:
This paper introduces a new statistical distribution called Gull Alpha Power of the Ampadu Type (GAPA-G for short). The new distribution is inspired by the Gull Alpha Power of [1] and the Ampadu-G of [2]. Some properties with application are investigated.
Brice Réné Amougou Mbarga
Published: 26 February 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 175-186; doi:10.34198/ejms.6121.175186

Abstract:
The purpose of this paper is two-fold. A first and more concrete aim is to give new characterizations of equivalence distributive Goursat categories (which extend 3-permutable varieties) through variations of the little Pappian Theorem involving reflexive and positive relations. A second and more abstract aim is to show that every finitely complete category E satisfying the n-scheme is locally anticommutative.
O.B. Akinduko
Published: 24 February 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 163-174; doi:10.34198/ejms.6121.163174

Abstract:
In this paper, by linearly combining the numerator and denominator terms of the Dai-Liao (DL) and Bamigbola-Ali-Nwaeze (BAN) conjugate gradient methods (CGMs), a general form of DL-BAN method has been proposed. From this general form, a new hybrid CGM, which was found to possess a sufficient descent property is generated. Numerical experiment was carried out on the new CGM in comparison with four existing CGMs, using some set of large scale unconstrained optimization problems. The result showed a superior performance of new method over majority of the existing methods.
Published: 16 February 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 153-161; doi:10.34198/ejms.6121.153161

Abstract:
The aim of this paper is to introduce the concept of coupled anti fuzzy subrings by using t-conorm C. By using t-conorm C; we consider the relationship between coupled subrings and coupled anti fuzzy subrings and we prove that the intersection of two coupled anti fuzzy subrings are also coupled anti fuzzy subring. Also we obtain some results for coupled anti fuzzy subrings under the ring homomorphisms. Finally, we show that the quotient of coupled anti fuzzy subring is also a coupled anti fuzzy subring with respect to t-conorm C. Our work is inspired by [1].
Yüksel Soykan
Published: 12 February 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 131-151; doi:10.34198/ejms.6121.131151

Abstract:
In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers. We also present the sum of entries, the maximum column sum matrix norm and the maximum row sum matrix norm of this circulant matrix. Moreover, we give some bounds for the spectral norms of Kronecker and Hadamard products of circulant matrices of (r, s, t) and Lucas (r, s, t) numbers.
Kwara Nantomah
Published: 17 January 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 117-129; doi:10.34198/ejms.6121.117129

Abstract:
Inequalities involving hyperbolic functions have been the subject of intense discussion in recent times. In this work, we establish harmonic mean inequalities for these functions. This complements the results known in the literature. The techniques adopted in proving our results are analytical in nature.
Brice Réné Amougou Mbarga
Published: 14 January 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 105-116; doi:10.34198/ejms.6121.105116

Abstract:
The first diagrammatic scheme was developed by H.P. Gumm under the name Shifting Lemma in case to characterize congruence modularity. A diagrammatic scheme is developed for the generalized semi distributive law in Mal'tsev categories. In this paper we study this diagrammatic scheme in the context of $n$-permutable, and of Mal'tsev categories in particular. Several remarks concerning the Triangular scheme case are included.
Timilehin G. Shaba, Abd'Gafar T. Tiamiyu, Ismaila O. Ibrahim, Abdullahi A. Ibrahim
Published: 11 January 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 87-103; doi:10.34198/ejms.6121.87103

Abstract:
In this paper we introduce a new subclass $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ of $p$-valent functions with negative coefficient defined by Hadamard product associated with a generalized differential operator. Radii of close-to-convexity, starlikeness and convexity of the class $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ are obtained. Also, distortion theorem, growth theorem and coefficient inequalities are established.
G. C. Ibeh, E. J. Ekpenyoung, K. Anyiam, C. John
Published: 4 January 2021
Earthline Journal of Mathematical Sciences, Volume 6, pp 65-86; doi:10.34198/ejms.6121.6586

Abstract:
This study introduces a new distribution in the family of generalized exponential distributions generated using the transformed-transformer method. Some properties of the distribution are presented. The new distribution has three parameters and they are estimated numerically using the BGFS iterative method implemented in R software. Two real sets of data are adopted to demonstrate the flexibility and potential applications of the new distribution.
Published: 13 December 2020
Earthline Journal of Mathematical Sciences, Volume 6, pp 33-63; doi:10.34198/ejms.6121.3363

Abstract:
In this paper the generalized inverse distribution is defined. Some properties and applications of the generalized inverse distribution are studied in some detail. Characterization theorems generalizing the new family in terms of the hazard function are obtained. Recommendation for further study concludes the paper.
Samuel U. Enogwe, Happiness O. Obiora-Ilouno, Chrisogonus K. Onyekwere
Published: 10 December 2020
Earthline Journal of Mathematical Sciences, Volume 6, pp 1-32; doi:10.34198/ejms.6121.132

Abstract:
This paper introduces an inverse power Akash distribution as a generalization of the Akash distribution to provide better fits than the Akash distribution and some of its known extensions. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, coefficient of variation, skewness, kurtosis, moment generating function, quantile function, Rényi entropy, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than Akash, inverse Akash and power Akash distributions respectively.
Festus C. Opone, Elvis A. Izekor, Innocent U. Akata, Francis E. U. Osagiede
Published: 22 November 2020
Earthline Journal of Mathematical Sciences pp 415-428; doi:10.34198/ejms.5221.415428

Abstract:
In this paper, we introduced the discrete analogue of the continuous Marshall-Olkin Weibull distribution using the discrete concentration approach. Some mathematical properties of the proposed discrete distribution such as the probability mass function, cumulative distribution function, survival function, hazard rate function, second rate of failure, probability generating function, quantile function and moments are derived. The method of maximum likelihood estimation is employed to estimate the unknown parameters of the proposed distribution. The applicability of the proposed discrete distribution was examined using an over-dispersed and under-dispersed data sets.
Published: 16 November 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 411-414; doi:10.34198/ejms.5221.411414

Abstract:
In [1], Wardowski introduced the F-contractions, and used it to prove the Banach contraction principle. In this paper we introduce a concept of F-interpolative Berinde weak contraction, and use it to prove the interpolative Berinde weak mapping theorem of [2].
Published: 10 November 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 395-410; doi:10.34198/ejms.5221.395410

Abstract:
This article gives an effective strategy to solve nonlinear stochastic Itô-Volterra integral equations (NSIVIE). These equations can be reduced to a system of nonlinear algebraic equations with unknown coefficients, using Bernoulli wavelets, their operational matrix of integration (OMI), stochastic operational matrix of integration (SOMI) and these equations can be solved numerically. Error analysis of the proposed method is given. Moreover, the results obtained are compared to exact solutions with numerical examples to show that the method described is accurate and precise.
Erhan Güler
Published: 30 October 2020
Earthline Journal of Mathematical Sciences pp 425-431; doi:10.34198/ejms.4220.425431

Abstract:
We introduce the fourth fundamental form of the torus hypersurface in the four dimensional Euclidean space. We also compute I, II, III and IV fundamental forms of a torus hypersurface.
Published: 29 October 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 377-393; doi:10.34198/ejms.5221.377393

Abstract:
In this paper, we introduce the notions of T-fuzzy ideal, T-fuzzy quasi ideal, T-fuzzy bi-ideal, and T-fuzzy interior ideal. Some related properties are obtained. in coupled $\Gamma$ semirings. Our work is inspired by [1].
Published: 27 October 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 365-376; doi:10.34198/ejms.5221.365376

Abstract:
In this present investigation, the authors introduced certain subclasses of the function class $T^{\alpha}_{\theta}(\lambda, \beta, t)$ of bi-Bazilevic univalent functions defined in the open unit disk $U$, which are associated with Chebyshev polynomials and Mittag-Leffler function. We establish the Taylor Maclaurin coefficients $\left|a_{2}\right|$, $\left|a_{3}\right|$ and $\left|a_{4}\right|$ for functions in the new subclass introduced and the Fekete-Szego problem is solved.
Published: 26 October 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 345-363; doi:10.34198/ejms.5221.345363

Abstract:
The influence of radiation on magneto-hydrodynamics (MHD) boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium in the presence of heat source and suction/blowing was investigated. Similarity transformation was used to convert the governing equations from partial differential equations into a system of non-linear ordinary differential equations. Solving numerically, we used shooting method along with fourth order Runge-Kutta technique to obtained numerical values. The effects of the obtained numerical values of the dimensionless parameters on skin-friction coefficient, Nusselt number, velocity profile and temperature profile are illustrated in table and graphs plotted using MATLAB. Comparison of the velocity profile with previously published work was presented and found to be in good agreement.
Published: 16 October 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 329-343; doi:10.34198/ejms.5221.329343

Abstract:
An optimization model to minimize the cost of designing water distribution network is presented in this study. The model was formulated to reduce the cost coefficient in a plumbing system. A new hybrid method of optimization was constructed by combining the search abilities of Jaya-based algorithm and pollination intelligence algorithm, and was used to solve the designed model. The model was implemented by obtaining geometrical information of a water distribution network layout stationed at Gaa Odota, Ilorin, Kwara State, Nigeria. Result obtained from the model showed a significant reduction in the cost coefficient compared to that of the study area.
Published: 7 October 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 291-296; doi:10.34198/ejms.5221.291296

Abstract:
Motivated by [1], this paper obtains a fuzzy fixed point variant of the interpolative Berinde weak mapping theorem of [2] in the setting of complete metric spaces.
Published: 6 October 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 277-289; doi:10.34198/ejms.5221.277289

Abstract:
In this paper, we establish Cusa-Huygens, Wilker and Huygens type inequalities for certain generalizations of the hyperbolic functions. From the established results, we recover some previous results as particular cases.
I. I. Aina,
Published: 30 September 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 267-275; doi:10.34198/ejms.5221.267275

Abstract:
In this paper, a new metaheuristic algorithm named refined heuristic intelligence swarm (RHIS) algorithm is developed from an existing particle swarm optimization (PSO) algorithm by introducing a disturbing term to the velocity of PSO and modifying the inertia weight, in which the comparison between the two algorithms is also addressed.
Published: 26 September 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 251-266; doi:10.34198/ejms.5221.251266

Abstract:
In this paper we introduce a concept of η-cone pentagonal metric space, which combines the notions of cone pentagonal metric space [1], and η-cone metric space [2]. Moreover, a variant of the interpolative Berinde weak mapping theorem obtained in [3] is proved in this setting.
I. Szalay, B. Szalay
Published: 18 September 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 237-249; doi:10.34198/ejms.5221.237249

Abstract:
Using the theory of exploded numbers by the axiom-systems of real numbers and Euclidean geometry, we explode the Euclidean plane. Exploding the Euclidean straight lines we get super straight lines. The extra straight line is the window phenomenon of super straight line. In general, the extra straight lines are curves in Euclidean sense, but they have more similar properties to Euclidean straight lines. On the other hand, with respect of parallelism we find a surprising property: there are detour straight lines.
Patrick Osatohanmwen, Francis O. Oyegue, Sunday M. Ogbonmwan
Published: 15 September 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 217-235; doi:10.34198/ejms.5221.217235

Abstract:
The focus of this paper is to present a stochastic model to capture the random behavior of the number of reported daily infections due to the Corona Virus (COVID-19) in Nigeria. The model expressed in form of a distribution function has five parameters. The model was fitted to the logarithm of the reported daily number of infection cases for the time period March 18th - June 11th, 2020. While the results obtained established the adequacy of the model in fitting and explaining the random behavior of the number of reported daily infections, it was also possible to use the model to study the situation of the number of infections exceeding certain thresholds. The procedure for the determination of these thresholds was established and a number of them were estimated for some given return periods.
I. U. Akata, J. E. Osemwenkhae
Published: 14 September 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 197-216; doi:10.34198/ejms.5121.197216

Abstract:
In this paper, a new generalized distribution known as Weibull Logistic-Exponential Distribution (WLED) is proposed using the T-R{Y} framework. Several mathematical properties of this new distribution are studied. The maximum likelihood estimation method was used in estimating the parameters of the proposed distribution. Finally, an application of the proposed distribution to a real lifetime data set is presented and its fit was compared with the fit obtained by some comparable lifetime distributions.
Published: 31 August 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 179-195; doi:10.34198/ejms.5121.179195

Abstract:
Motivated by [1], the authors in [2] extended the notion of anti fuzzy groups to the multigroup context and studied some of their properties. In this paper we extend the work in a new direction termed coupled multigroup and obtain some new properties in this context. A conjecture concludes the paper.
Published: 28 August 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 169-178; doi:10.34198/ejms.5121.169178

Abstract:
The close-to-convex analogue of a starlike functions by means of generalized discrete probability distribution and Poisson distribution was considered. Some coefficient inequalities and their connection to classical Fekete-Szego theorem are obtained. Our results provide strong connection between Geometric Function Theory and Statistics.
Khalida Inayat Noor, Samar Abbas, Bushra Kanwal
Published: 25 August 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 155-168; doi:10.34198/ejms.5121.155168

Abstract:
In this paper, an up-to-date generalization of the class $\mathtt{C^\star}$ of quasi-convex functions is given by introducing new class $\mathfrak{\mathtt{C}^\star_g[a, b]}$. Furthermore its basic properties, its relationship with other subclasses of $\mathtt{S}$, inclusion relations and some other interesting properties are derived.
Published: 23 August 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 121-154; doi:10.34198/ejms.5121.121154

Abstract:
Within the master thesis [1], the author considered the following random variable $$T=X^{-1}-1,$$ where $X$ follows the Kumaraswamy distribution, and obtains a so-called inverted Kumaraswamy distribution, and studies some properties and applications of this class of distributions in the context of the power series family [2]. Within the paper [3], they introduced the exponentiated generalized class of distributions and obtained some properties with applications. Based on these developments we introduce a class of modified power series inverted exponentiated generalized distributions and obtain some of their properties with applications. Some characterization theorems are also presented. Avenues for further research concludes the paper.
Laaro Abdullateef
Published: 14 August 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 103-119; doi:10.34198/ejms.5121.103119

Abstract:
In this paper we study and define the concept of the fundamental group of rough topological spaces (RTSs), which deeply depends on the concepts of rough sets (RSs) and rough topology (RT). Working towards this stated objective, we define the concept of rough path (RPt) which gives room for the introduction of rough loop (RL). We also define the concepts of rough homotopy (RH) and later shows that it is indeed an equivalence relation. We introduce the fundamental group of rough topological spaces by showing that all the group axioms satisfied. Also, this paper establish the fact that most of the results in fundamental group of ordinary topological spaces are also hold for the fundamental group of rough topological spaces.
Khalida Inayat Noor, Shujaat Ali Shah
Published: 27 July 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 87-102; doi:10.34198/ejms.5121.87102

Abstract:
The aim of this article is to introduce and study certain subclasses of analytic functions and we investigate various properties of these classes such as inclusion properties and convex convolution preserving properties. Also, some related applications are discussed.
Khalida Inayat Noor, Muhammad Kamran, Shujaat Ali Shah
Published: 26 July 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 75-86; doi:10.34198/ejms.5121.7586

Abstract:
This article presents the study of certain subclasses of analytic functions defined by using the Hadamard product. We derive certain inclusion results and discuss the applications of multiplier transformation. Several radius problems are also investigated.
Oluwafemi I. Bada, Abayomi S. Oke, Winfred N. Mutuku, Patrick O. Aye
Published: 22 July 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 43-73; doi:10.34198/ejms.5121.4373

Abstract:
The spread of Avian influenza in Asia, Europe and Africa ever since its emergence in 2003, has been endemic in many countries. In this study, a non-linear SI-SI-SEIR Mathematical model with re-infection as a result of continuous contact with both infected poultry from farm and market is proposed. Local and global stability of the three equilibrium points are established and numerical simulations are used to validate the results.
Published: 21 July 2020
Earthline Journal of Mathematical Sciences pp 17-42; doi:10.34198/ejms.5121.1742

Abstract:
In this paper, a new notion of generalized convex fuzzy mapping is introduced, which is called α-preinvex fuzzy mapping on the α-invex set. We have investigated the characterization of preinvex fuzzy mappings using α-preinvex fuzzy mappings, which can be viewed as a novel and innovative application. Some important and significant special cases are discussed. We have also investigated that the minimum of α-preinvex fuzzy mappings can be characterized by fuzzy α-variational like inequalities.
A. E. Akinsunmade, C. N. Ejieji
Published: 16 July 2020
Earthline Journal of Mathematical Sciences, Volume 5, pp 1-15; doi:10.34198/ejms.5121.115

Abstract:
A mathematical model for crop pattern coupled with economic and environmental factors of agricultural production constructed with remote sensing and metaheuristic based algorithm is considered in this work. The model is expected to serve as a support system for farm managers' decision making process. Geographic data showing soil properties of major cities in Benue State, Nigeria using remote sensing, was integrated to the model to obtain analyzed suitability information for selected crops. A class of modern optimization algorithms was thereafter used to find optimum cropland pattern. A net production value of $1,592,107,000.00$ was obtained by using the model compared to an initial production value of $1,364,460,000.00$ recorded in the study area. The study suggests that soil properties must be considered along side with economic factors before choosing the types of crop to be planted on a piece of land. This study has shown the efficacy of optimization tools which should be dully employed by farmers in decision making process. The data used to support the findings of this study are included within the article.
Issah Zabsonre Alhassan, Edward Danso Ansong, Gaddafi Abdul Salam, Salamudeen Alhassan
Published: 7 July 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 399-424; doi:10.34198/ejms.4220.399424

Abstract:
This paper proposes an algorithm that enhances the speed of transmission and secure images that are transmitted over internet or a network. The proposed cryptosystem uses a modified k-shuffling technique to scramble pixels of images and further decomposes them using Residue Number System. Simulations are done using two moduli sets with the modified k-shuffle technique. Analyses of results showed that both simulations could secure images without any loss of information and also the time taken for a complete encryption/decryption process is dependent on the moduli set. Among the chosen moduli sets, the even moduli set optimizes and completes execution using less time as compared to the traditional moduli set. The proposed scheme also showed resistance to statistical attacks (histogram, ciphertext, correlation attacks) and a significant reduction in the size of cipher images which enhances the speed of transmission over network.
Innocent Boyle Eraikhuemen, Julian Ibezimako Mbegbu, Friday Ewere
Published: 4 July 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 361-398; doi:10.34198/ejms.4220.361398

Abstract:
In this paper, we propose Complementary Kumaraswamy Weibull Power Series (CKWPS) Distributions. The method is obtained by compounding the Kumaraswamy-G distribution and Power Series distribution on a latent complementary distance problem base. The mathematical properties of the proposed class of distribution are studied. The method of Maximum Likelihood Estimation is used for obtaining the estimates of the model parameters. A member of the family is investigated in detail. Finally an application of the proposed class is illustrated using a real data set.
Donalben Onome Eke, Friday Ewere
Published: 1 July 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 347-360; doi:10.34198/ejms.4220.347360

Abstract:
Nigeria’s efforts aimed at reducing avoidable child deaths have been met with gradual and sustained progress. Despite the decline in childhood mortality in Nigeria in the last two decades, its prevalence still remain high in comparison to the global standard of mortality for children under the age of five which stands at 25 deaths per 1000 live births. Knowledge of the chances of Nigeria achieving this goal for childhood mortality will aid proper interventions needed to reduce the occurrence. Therefore, this paper employed the Auto-Regressive Integrated Moving Average (ARIMA) model for time series analysis to make forecast of under-five mortality in Nigeria up to 2030 using data obtained from the United Nation’s Inter Agency Group for Childhood Mortality Estimate (UN-IGME). The ARIMA (2, 1, 1) model predicted a reduction of up to 37.3% by 2030 at 95% confidence interval. Results from the study also showed that a reduction of over 300% in under-five mortality is required for Nigeria to be able to achieve the SDG goal for under-five mortality.
Abbas Kareem Wanas
Published: 25 June 2020
Earthline Journal of Mathematical Sciences pp 333-346; doi:10.34198/ejms.4220.333346

Abstract:
The purpose of the present paper is to establish some topological properties for a certain family of harmonic τ-uniformly convex functions of order ρ associated with Wanas differential operator defined in the open unit disk U.
Published: 15 June 2020
Earthline Journal of Mathematical Sciences pp 297-331; doi:10.34198/ejms.4220.297331

Abstract:
In this paper, closed forms of the sum formulas $\sum_{k=0}^{n}kx^{k}W_{k}^{3}$ and $\sum_{k=1}^{n}kx^{k}W_{-k}^{3}$ for the cubes of generalized Fibonacci numbers are presented. As special cases, we give sum formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers.
Linus Ifeanyi Onyishi,
Published: 9 June 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 273-285; doi:10.34198/ejms.4220.273285

Abstract:
Alternatives to the existing axial distances of the Central Composite Design (CCD) in spherical design using three axial distances were studied. The aim of this study is to determine a better alternative to already existing axial distances whose prediction properties are more stable in the spherical design regions. Using the concepts of the three Pythagorean means, the arithmetic, harmonic and geometric axial distances for spherical regions were developed. The performances of the alternative axial distances were compared with the existing ones using the D and G optimality criteria. The study shows that the alternative axial distances are better using the D and G optimality criteria.
Published: 9 June 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 287-296; doi:10.34198/ejms.4220.287296

Abstract:
A topological index is a quantity expressed as a number that help us to catch symmetry of chemical compounds. With the help of quantitative structure property relationship (QSPR), we can guess physical and chemical properties of several chemical compounds. Here, we will compute Shingali & Kanabour, Gourava and hype Gourava indices for the chemical compound Nicotine.
Published: 2 June 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 253-271; doi:10.34198/ejms.4220.253271

Abstract:
Partially inspired by [Erdal Karapinar, Ravi Agarwal and Hassen Aydi, Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces, Mathematics 6 (2018), 256] and [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum 9(1) (2004), 43-53], we introduce a concept of interpolative Berinde weak contraction, and obtain some existence theorems for mappings satisfying such a contractive definition, and some of its extensions.
Published: 29 May 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 227-251; doi:10.34198/ejms.4220.227251

Abstract:
In this paper, we investigate the generalized Jacobsthal-Padovan sequences and we deal with, in detail, four special cases, namely, Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan and modified Jacobsthal-Padovan sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.
, Shujaat Ali Shah
Published: 24 May 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 211-225; doi:10.34198/ejms.4220.211225

Abstract:
We introduce certain subclasses of analytic functions related to the class of analytic, convex univalent functions. We discuss some results including inclusion relationships and invariance of the classes under convex convolution in terms of certain linear operators. Applications of these results associated with the generalized Janowski functions and conic domains are considered. Also, several radius problems are investigated.
P. A. Ejegwa,
Published: 22 May 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 189-210; doi:10.34198/ejms.4220.189210

Abstract:
Fuzzy multigroup is an application of fuzzy multiset to group theory. Although, a lots have been done on the theory of fuzzy multigroups, some group's theoretic notions could still be investigated in fuzzy multigroup context. Certainly, the idea of commutator is one of such group's theoretic notions yet to be studied in the environment of fuzzy multigroups. Hence, the aim of this article is to establish the notion of commutator in fuzzy multigroup setting. A number of some related results are obtained and characterized. Among several results that are obtained, it is established that, if $A$ and $B$ are fuzzy submultigroups of a fuzzy multigroup $C$, then $[A, B]\subseteq A\cup B$ holds. Some homomorphic properties of commutator in fuzzy multigroup context are discussed. The notion of admissible fuzzy submultisets $A$ and $B$ of $C\in FMG(X)$ under an operator domain $\mathcal{D}$ is explicated, and it is shown that $(A,B)$ and $[A,B]$ are $\mathcal{D}$-admissible.
Published: 20 May 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 139-167; doi:10.34198/ejms.4120.139167

Abstract:
This paper introduces a new class of distributions called the generalized Ampadu-G (GA-G for short) family of distributions, and with a certain restriction on the parameter space, the family is shown to be a life-time distribution. The shape of the density function and hazard rate function of the GA-G family is described analytically. When G follows the Weibull distribution, the generalized Ampadu-Weibull (GA-W for short) is presented along with its hazard and survival function. Several sub-models of the GA-W family are presented. The transformation technique is applied to this new family of distributions, and we obtain the quantile function of the new family. Power series representations for the cumulative distribution function (CDF) and probability density function (PDF) are also obtained. The rth non-central moments, moment generating function, and Renyi entropy associated with the new family of distributions are derived. Characterization theorems based on two truncated moments and conditional expectation are also presented. A simulation study is also conducted, and we find that using the method of maximum likelihood to estimate model parameters is adequate. The GA-W family of distributions is shown to be practically significant in modeling real life data, and is shown to be superior to some non-trivial generalizations of the Weibull distribution. A further development concludes the paper.
Abbas Kareem Wanas, Dhirgam Allawy Hussein
Published: 2 May 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 129-137; doi:10.34198/ejms.4120.129137

Abstract:
In the present work, we establish some fuzzy differential subordination results for λ‑pseudo starlike and λ-pseudo convex functions with respect to symmetrical points in the open unit disk.
Sahar Jaafar Mahmood, Nesir Rasool Mahmood,
Published: 30 April 2020
Earthline Journal of Mathematical Sciences, Volume 4, pp 169-188; doi:10.34198/ejms.4120.169188

Abstract:
In this article, we find the cyclic decomposition of the finite abelian factor group AC(G)=\bar{R}(G)/T(G), where G=Q_{2m} and m is an even number and Q_{2m} is the quaternion group of order 4m. (The group of all Z-valued generalized characters of G over the group of induced unit characters from all cyclic subgroups of G). We find that the cyclic decomposition AC(Q_{2m}) depends on the elementary divisor of m. We have found that if m= p_{1}^{r_1} \cdot p_{2}^{r_2} \cdots p_{n}^{r_n} \cdot 2^h, p_i are distinct primes, then: AC(Q_{2m})=\bigoplus_{i=1}^{(r_1+1)(r_2+1)\cdots(r_n+n)(h+2)-1}C_2. Moreover, we have also found the general form of Artin characters table Ar(Q_{2m}) when m is an even number.
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