Existence Theory and Numerical Solutions To Smoking Model Under Caputo-Fabrizio Fractional Derivative
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Physics
Open Access Color
Green Open Access
No
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Top 1%
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Top 10%
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Top 1%
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.
Description
Jarad, Fahd/0000-0002-3303-0623; Shah, Kamal/0000-0002-8851-4844
Keywords
Smokers, Smoking, Humans, Non-Smokers, Ex-Smokers, Models, Biological, Algorithms, Medical applications (general), Fractional ordinary differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Numerical investigation of stability of solutions to ordinary differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Khan, Sajjad Ali...et al. (2019). "Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative", Chaos, Vol. 29, No. 1.
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
73
Source
Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume
29
Issue
1
Start Page
End Page
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Citations
CrossRef : 58
Scopus : 89
PubMed : 10
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Mendeley Readers : 10
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89
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Web of Science™ Citations
79
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3
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