Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative
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- 1 January 2019
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 29 (1), 013128
- https://doi.org/10.1063/1.5079644
Abstract
In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for the considered model. Furthermore, some results related to uniqueness of the equilibrium solution and its stability are discussed utilizing the techniques of nonlinear functional analysis. The dynamics of iterative solutions for various compartments of the model are plotted with the help of Matlab. Published under license by AIP Publishing.Keywords
This publication has 15 references indexed in Scilit:
- Applications of New Time and Spatial Fractional Derivatives with Exponential KernelsProgress in Fractional Differentiation and Applications, 2016
- Analysis of the Keller–Segel Model with a Fractional Derivative without Singular KernelEntropy, 2015
- A fractional calculus approach to the dynamic optimization of biological reactive systems. Part I: Fractional models for biological reactionsChemical Engineering Science, 2014
- The fractional-order SIS epidemic model with variable population sizeJournal of the Egyptian Mathematical Society, 2014
- Stability analysis for nonlinear fractional-order systems based on comparison principleNonlinear Dynamics, 2013
- Smoking epidemic eradication in a eco-epidemiological dynamical modelEcological Complexity, 2013
- A numeric–analytic method for approximating a giving up smoking model containing fractional derivativesComputers & Mathematics with Applications, 2012
- Deterministic and stochastic stability of a mathematical model of smokingStatistics & Probability Letters, 2011
- Curtailing smoking dynamics: A mathematical modeling approachApplied Mathematics and Computation, 2008
- Avian–human influenza epidemic modelMathematical Biosciences, 2007