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B. Venkateswarlu, P. Thirupathi Reddy, Sujatha S. Sridevi
Open Journal of Mathematical Analysis, Volume 4, pp 170-177; doi:10.30538/psrp-oma2020.0076

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Benard Okelo
Open Journal of Mathematical Analysis, Volume 4, pp 160-169; doi:10.30538/psrp-oma2020.0075

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McSylvester Ejighikeme Omaba, Louis O. Omenyi
Open Journal of Mathematical Analysis, Volume 4, pp 152-159; doi:10.30538/psrp-oma2020.0074

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Abdissa Fekadu, Kidane Koyas, Solomon Gebregiorgis
Open Journal of Mathematical Analysis, Volume 4, pp 142-151; doi:10.30538/psrp-oma2020.0073

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Engineering and Applied Science Letters; doi:10.30538/easl2018-vol-1-issue-1

Open Journal of Mathematical Sciences; doi:10.30538/oms2017

Jonah Lissner
Engineering and Applied Science Letters, Volume 3, pp 55-59; doi:10.30538/psrp-easl2020.0051

Abstract:
Quantum mechanical mathematical methods are utilized for theoretical engineering and testing of hydrocellular engineering for quantum computation criteria and quantum power engineering.
Daniel A. Romano, Young Bae Jun
Open Journal of Mathematical Sciences, Volume 4, pp 442-447; doi:10.30538/oms2020.0133

Abstract:
The concept of weak implicative UP-filters in UP-algebras is introduced and analyzed. Some characterizations of weak implicative UP-filters are derived with the using of some other filter types in such algebras.
Amar Ouaoua, Messaoud Maouni, Aya Khaldi
Open Journal of Mathematical Analysis, Volume 4, pp 123-131; doi:10.30538/psrp-oma2020.0071

Abstract:
In this paper, we consider an initial value problem related to a class of hyperbolic equation in a bounded domain is studied. We prove local existence and uniqueness of the solution by using the Faedo-Galerkin method and that the local solution is global in time. We also prove that the solutions with some conditions exponentially decay. The key tool in the proof is an idea of Haraux and Zuazua with is based on the construction of a suitable Lyapunov function.
Junjiang Li, Guifu Su, Huichao Shi, Fuguo Liu
Open Journal of Discrete Applied Mathematics, Volume 3, pp 66-76; doi:10.30538/psrp-odam2020.0045

Abstract:
The inverse degree of a graph was defined as the sum of the inverses of the degrees of the vertices. In this paper, we focus on finding sufficient conditions in terms of the inverse degree for a graph to be \(k\)-path-coverable, \(k\)-edge-hamiltonian, Hamilton-connected and traceable, respectively. The results obtained are not dropped.
I. M. Adamu
Open Journal of Mathematical Sciences, Volume 4, pp 430-441; doi:10.30538/oms2020.0132

Abstract:
This paper introduces the concept of homomorphism in intuitionistic fuzzy multigroups context. It also investigates Some homomorphic properties of intuitionistic fuzzy multigroups. It is shown that the homomorphic image and homomorphic preimage of intuitionistic fuzzy multigroups are also intuitionistic fuzzy multigroups. Finally, it presents some homomorphic properties of normalizer of intuitionistic fuzzy multigroups.
Sudhanshu Aggarwal, Nidhi Sharma
Open Journal of Mathematical Sciences, Volume 4, pp 397-399; doi:10.30538/oms2020.0129

Abstract:
In this article, authors discussed the existence of solution of non-linear diophantine equation \({379}^x+{397}^y=z^2,\) where \(x,y,z\) are non-negative integers. Results show that the considered non-linear diophantine equation has no non-negative integer solution.
Diem Dang Huan
Open Journal of Mathematical Sciences, Volume 4, pp 417-429; doi:10.30538/oms2020.0131

Abstract:
The objective of this paper is to study the stability of the weak solutions of stochastic 2D Navier-Stokes equations with memory and Poisson jumps. The asymptotic stability of the stochastic Navier-Stoke equation as a semilinear stochastic evolution equation in Hilbert spaces is obtained in both mean square and almost sure senses. Our results can extend and improve some existing ones.
Abdelmajid Ali Dafallah, Fadlallah Mustafa Mosa, Mohamed Y. A. Bakhet, Eshag Mohamed Ahmed
Open Journal of Mathematical Sciences, Volume 4, pp 400-416; doi:10.30538/oms2020.0130

Abstract:
In this paper, we concerned to prove the existence of a random attractor for the stochastic dynamical system generated by the extensible beam equation with localized non-linear damping and linear memory defined on bounded domain. First we investigate the existence and uniqueness of solutions, bounded absorbing set, then the asymptotic compactness. Longtime behavior of solutions is analyzed. In particular, in the non-autonomous case, the existence of a random attractor attractors for solutions is achieved.
R. O. Olanrewaju, J. F. Ojo, L. O. Adekola
Open Journal of Mathematical Sciences, Volume 4, pp 386-396; doi:10.30538/oms2020.0128

Abstract:
This paper provides a procedure for estimating Stochastic Volatility (SV) in financial time series via latent autoregressive in a Bayesian setting. A Gaussian distributional combined prior and posterior of all hyper-parameters (autoregressive coefficients) were specified such that the Markov Chain Monte Carlo (MCMC) iterative procedure via the Gibbs and Metropolis-Hasting sampling method was used in estimating the resulting exponentiated forms (quadratic forms) from the posterior kernel density. A case study of Naira to eleven (11) exchangeable currencies\(^,\) rates by Central Bank of Nigeria (CBN) was subjected to the estimated solutions of the autoregressive stochastic volatility. The posterior volatility estimates at 5%, 50%, and 95% quantiles of \({e^{\frac{\mu }{2}}}\) = (0.130041, 0.1502 and 0.1795) respectively unveiled that the Naira-US Dollar exchange rates has the highest rates bartered by fluctuations.
Mohamed Mellah
Open Journal of Mathematical Analysis, Volume 4, pp 116-122; doi:10.30538/psrp-oma2020.0070

Abstract:
This paper concerns with the global solutions and general decay to an initial-boundary value problem of the dispersive wave equation with memory and source terms
Khalil Ezzinbi
Open Journal of Mathematical Analysis, Volume 4, pp 104-115; doi:10.30538/psrp-oma2020.0069

Abstract:
This work concerns the study of the controllability for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces. We give sufficient conditions that ensure the controllability of the system by supposing that its undelayed part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point Theorem. As a result, we obtain a generalization of the work of K. Balachandran and R. Sakthivel (Journal of Mathematical Analysis and Applications, 255, 447-457, (2001)) and a host of important results in the literature, without assuming the compactness of the resolvent operator. An example is given for illustration.
M. G. Sobamowo
Engineering and Applied Science Letters, Volume 3, pp 35-54; doi:10.30538/psrp-easl2020.0050

Abstract:
In this present study, the transient magnetohydrodynamics free convection heat and mass transfer of Casson nanofluid past an isothermal vertical flat plate embedded in a porous media under the influence of thermal radiation is studied. The governing systems of nonlinear partial differential equations of the flow, heat and mass transfer processes are solved using implicit finite difference scheme of Crank-Nicolson type. The numerical solutions are used to carry out parametric studies. The temperature as well as the concentration of the fluid increase as the Casson fluid and radiation parameters as well as Prandtl and Schmidt numbers increase. The increase in the Grashof number, radiation, buoyancy ratio and flow medium porosity parameters causes the velocity of the fluid to increase. However, the Casson fluid parameter, buoyancy ratio parameter, the Hartmann (magnetic field parameter), Schmidt and Prandtl numbers decrease as the velocity of the flow increases. The time to reach the steady state concentration, the transient velocity, Nusselt number and the local skin-friction decrease as the buoyancy ratio parameter and Schmidt number increase. Also, the steady-state temperature and velocity decrease as the buoyancy ratio parameter and Schmidt number increase. Also, the local skin friction, Nusselt and Sherwood numbers decrease as the Schmidt number increases. However, the local Nusselt number increases as the buoyancy ratio parameter increases. It was established that near the leading edge of the plate), the local Nusselt number is not affected by both buoyancy ratio parameter and Schmidt number. It could be stated that the present study will enhance the understanding of transient free convection flow problems under the influence of thermal radiation and mass transfer as applied in various engineering processes.
Abolape Deborah Akwu, Opeyemi Oyewumi
Open Journal of Discrete Applied Mathematics, Volume 3, pp 62-65; doi:10.30538/psrp-odam2020.0044

Abstract:
Let \(G\) be a simple and finite graph. A graph is said to be decomposed into subgraphs \(H_1\) and \(H_2\) which is denoted by \(G= H_1 \oplus H_2\), if \(G\) is the edge disjoint union of \(H_1\) and \(H_2\). If \(G= H_1 \oplus H_2 \oplus \cdots \oplus H_k\), where \(H_1\), \(H_2\), ..., \(H_k\) are all isomorphic to \(H\), then \(G\) is said to be \(H\)-decomposable. Furthermore, if \(H\) is a cycle of length \(m\) then we say that \(G\) is \(C_m\)-decomposable and this can be written as \(C_m|G\). Where \( G\times H\) denotes the tensor product of graphs \(G\) and \(H\), in this paper, we prove that the necessary conditions for the existence of \(C_6\)-decomposition of \(K_m \times K_n\) are sufficient. Using these conditions it can be shown that every even regular complete multipartite graph \(G\) is \(C_6\)-decomposable if the number of edges of \(G\) is divisible by \(6\).
Emran Khoshrouye Ghiasi, Samad Noeiaghdam
Engineering and Applied Science Letters, Volume 3, pp 28-34; doi:10.30538/psrp-easl2020.0049

Abstract:
The main difficulty in dealing with the basic differential equations of fluid momentum is in choosing an appropriate problem-solving methodology. In addition, it is necessary to correct minor errors incurred by neglecting some losses. However, in many cases, such methodologies suffer from long processing time (P-time). Therefore, this article focuses on the truncation technique involving an unsteady Eyring-Powell fluid towards a shrinking wall. The governing differential equations are converted to the non-dimensional from through similarity variables. It is seen that the present system is totally convergent in 8th-order approximate solution together with \(\hbar=-0.875\).
Muhammad Jibril Shahab Sahir
Engineering and Applied Science Letters, Volume 3, pp 19-27; doi:10.30538/psrp-easl2020.0048

Abstract:
In this article, we present extensions of some well-known inequalities such as Young's inequality and Qi's inequality on fractional calculus of time scales. To find generalizations of such types of dynamic inequalities, we apply the time scale Riemann-Liouville type fractional integrals. We investigate dynamic inequalities on delta calculus and their symmetric nabla results. The theory of time scales is utilized to combine versions in one comprehensive form. The calculus of time scales unifies and extends some continuous forms and their discrete and quantum inequalities. By applying the calculus of time scales, results can be generated in more general form. This hybrid theory is also extensively practiced on dynamic inequalities.
Mohammed Saad Alsharafi, Mahioub Mohammed Shubatah, Abdu Qaid Alameri
Open Journal of Discrete Applied Mathematics, Volume 3, pp 53-61; doi:10.30538/psrp-odam2020.0043

Abstract:
A topological index of graph \(G\) is a numerical parameter related to graph which characterizes its molecular topology and is usually graph invariant. Topological indices are widely used to determine the correlation between the specific properties of molecules and the biological activity with their configuration in the study of quantitative structure-activity relationships (QSARs). In this paper some basic mathematical operations for the forgotten index of complement graph operations such as join \(\overline {G_1+G_2}\), tensor product \(\overline {G_1 \otimes G_2}\), Cartesian product \(\overline {G_1\times G_2}\), composition \(\overline {G_1\circ G_2}\), strong product \(\overline {G_1\ast G_2}\), disjunction \(\overline {G_1\vee G_2}\) and symmetric difference \(\overline {G_1\oplus G_2}\) will be explained. The results are applied to molecular graph of nanotorus and titania nanotubes.
Alexander Farrugia
Open Journal of Discrete Applied Mathematics, Volume 3, pp 41-52; doi:10.30538/psrp-odam2020.0042

Abstract:
A pseudo walk matrix \(\mathbf{W}_\mathbf{v}\) of a graph \(G\) having adjacency matrix \(\mathbf{A}\) is an \(n\times n\) matrix with columns \(\mathbf{v},\mathbf{A}\mathbf{v},\mathbf{A}^2\mathbf{v},\ldots,\mathbf{A}^{n-1}\mathbf{v}\) whose Gram matrix has constant skew diagonals, each containing walk enumerations in \(G\). We consider the factorization over \(\mathbb{Q}\) of the minimal polynomial \(m(G,x)\) of \(\mathbf{A}\). We prove that the rank of \(\mathbf{W}_\mathbf{v}\), for any walk vector \(\mathbf{v}\), is equal to the sum of the degrees of some, or all, of the polynomial factors of \(m(G,x)\). For some adjacency matrix \(\mathbf{A}\) and a walk vector \(\mathbf{v}\), the pair \((\mathbf{A},\mathbf{v})\) is controllable if \(\mathbf{W}_\mathbf{v}\) has full rank. We show that for graphs having an irreducible characteristic polynomial over \(\mathbb{Q}\), the pair \((\mathbf{A},\mathbf{v})\) is controllable for any walk vector \(\mathbf{v}\). We obtain the number of such graphs on up to ten vertices, revealing that they appear to be commonplace. It is also shown that, for all walk vectors \(\mathbf{v}\), the degree of the minimal polynomial of the largest eigenvalue of \(\mathbf{A}\) is a lower bound for the rank of \(\mathbf{W}_\mathbf{v}\). If the rank of \(\mathbf{W}_\mathbf{v}\) attains this lower bound, then \((\mathbf{A},\mathbf{v})\) is called a recalcitrant pair. We reveal results on recalcitrant pairs and present a graph having the property that \((\mathbf{A},\mathbf{v})\) is neither controllable nor recalcitrant for any walk vector \(\mathbf{v}\).
P. A. Ejegwa, M. A. Ibrahim
Open Journal of Mathematical Sciences, Volume 4, pp 377-385; doi:10.30538/oms2020.0127

Abstract:
The theory of multigroups is a generalized group’s theoretic notions in multiset framework. Although myriad of researches have been done in multigroup theory, but some group’s analogue concepts have not been investigated in multigroup setting. In this paper we propose the notions of divisible and pure multigroups and characterize some of their properties. It is established that the image and preimage of homomorphism of divisible and pure multigroups are divisible and pure multigroups. The nexus between divisible and pure multigroups and that of divisible and pure groups are instituted using the concept of cuts of multigroups.
Mitiku Damene, Kidane Koyas, Solomon Gebregiorgis
Engineering and Applied Science Letters, Volume 3, pp 11-18; doi:10.30538/psrp-easl2020.0047

Abstract:
The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved results.
Rasul Rasuli
Engineering and Applied Science Letters, Volume 3, pp 1-10; doi:10.30538/psrp-easl2020.0046

Abstract:
In this study, we define anti complex fuzzy subgroups and normal anti complex fuzzy subgroups under \(s\)-norms and investigate some of characteristics of them. Later we introduce and study the intersection and composition of them. Next, we define the concept normality between two anti complex fuzzy subgroups by using \(s\)-norms and obtain some properties of them. Finally, we define the image and the inverse image of them under group homomorphisms.
Maged Zakaria Youssef, Zainab Saad Almoreed
Open Journal of Discrete Applied Mathematics, Volume 3, pp 33-40; doi:10.30538/psrp-odam2020.0041

Abstract:
In this paper we give a new variation of the prime labeling. We call a graph \(G\) with vertex set \(V(G)\) has an odd prime labeling if its vertices can be labeled distinctly from the set \(\big\{1, 3, 5, ...,2\big|V(G)\big| -1\big\}\) such that for every edge \(xy\) of \(E(G)\) the labels assigned to the vertices of \(x\) and \(y\) are relatively prime. A graph that admits an odd prime labeling is called an odd prime graph. We give some families of odd prime graphs and give some necessary conditions for a graph to be odd prime. Finally, we conjecture that every prime graph is odd prime graph.
Rizwan Ahmed
Open Journal of Discrete Applied Mathematics, Volume 3, pp 24-32; doi:10.30538/psrp-odam2020.0040

Abstract:
Harvesting has a strong impact on the dynamic evolution of a population subjected to it. In this paper, a fractional-order predator-prey interaction is studied with harvesting affecting both predator and prey populations. Local stability of the coexistence equilibrium point is discussed depending upon the harvesting of prey. Moreover, period-doubling and Neimark-Sacker bifurcations are studied for a wide range of constant harvesting effort of prey.
Zouaoui Bekri, Slimane Benaicha
Open Journal of Discrete Applied Mathematics, Volume 3, pp 14-23; doi:10.30538/psrp-odam2020.0039

Albo Carlos Cavalheiro
Open Journal of Mathematical Sciences, Volume 4, pp 356-368; doi:10.30538/oms2020.0125

Kuldeep Kaur Shergill, Sukhwinder Singh Billing
Open Journal of Mathematical Analysis, Volume 4, pp 93-99; doi:10.30538/psrp-oma2020.0067

Temur Z. Kalanov, Yozuvchilar (Pisatelskaya) 6A Home Of Physical Problems
Open Journal of Mathematical Sciences, Volume 4, pp 343-355; doi:10.30538/oms2020.0124

S. Mehrshad
Open Journal of Mathematical Sciences, Volume 4, pp 337-342; doi:10.30538/oms2020.0123

Y. Gayathri Narayana, V. Yegnanarayanan
Engineering and Applied Science Letters, Volume 3, pp 30-36; doi:10.30538/psrp-easl2020.0045

Lelise Mulatu, Alemayehu Shiferaw, Solomon Gebregiorgis
Engineering and Applied Science Letters, Volume 3, pp 20-29; doi:10.30538/psrp-easl2020.0044

Johan Kok
Open Journal of Discrete Applied Mathematics, Volume 3, pp 1-3; doi:10.30538/psrp-odam2020.0037

Fidel Oduol
Open Journal of Discrete Applied Mathematics, Volume 3, pp 4-13; doi:10.30538/psrp-odam2020.0038

M. G. Sobamowo, O. M. Kamiyo, A. A. Yinusa, T. A. Akinshilo
Open Journal of Mathematical Sciences, Volume 4, pp 305-322; doi:10.30538/oms2020.0121

Alexander G. Ramm
Open Journal of Mathematical Analysis, Volume 4, pp 89-92; doi:10.30538/psrp-oma2020.0066

W. Kangogo, N. B. Okelo, O. Ongati
Open Journal of Mathematical Analysis, Volume 4, pp 80-88; doi:10.30538/psrp-oma2020.0065

A. M. A. El-Sayed, M. Sh. Mohamed, E. M. Al-Barg
Open Journal of Mathematical Analysis, Volume 4, pp 64-73; doi:10.30538/psrp-oma2020.0063

Timilehin Gideon Shaba
Open Journal of Mathematical Analysis, Volume 4, pp 74-79; doi:10.30538/psrp-oma2020.0064

Justin G. Trulen
Open Journal of Mathematical Analysis, Volume 4, pp 42-55; doi:10.30538/psrp-oma2020.0061

Komi Agbokou, Kossi Gneyou, Kokou Tcharie
Open Journal of Mathematical Sciences, Volume 4, pp 273-279; doi:10.30538/oms2020.0118

Gabriel Obed Fosu, Emmanuel Akweittey, Albert Adu-Sackey
Open Journal of Mathematical Sciences, Volume 4, pp 261-272; doi:10.30538/oms2020.0117

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