A New Fractional Model for Giving Up Smoking Dynamics
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Date
2017
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Publisher
Springeropen
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GOLD
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Abstract
The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid of an iterative technique. The existence of the solution is discussed by employing the fixed point postulate, and the uniqueness of the solution is also proved. The effect of various parameters is shown graphically. The numerical results for the smoking model associated with the new fractional derivative are compared with numerical results for a smoking model pertaining to the standard derivative and Caputo fractional derivative.
Description
Kumar, Devendra/0000-0003-4249-6326
ORCID
Keywords
Smoking Model, Fractional Differential Equations, Caputo-Fabrizio Derivative, Fixed Point Postulate, Uniqueness, Financial economics, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Differential equation, Health Sciences, FOS: Mathematics, Work (physics), Anomalous Diffusion Modeling and Analysis, Algebra and Number Theory, Applied Mathematics, Physics, Public Health, Environmental and Occupational Health, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Disease Transmission and Population Dynamics, Derivative (finance), Physical Sciences, Kernel (algebra), Medicine, Thermodynamics, Fractional Calculus, Uniqueness, Analysis, Mathematics, Ordinary differential equation, Caputo-Fabrizio derivative, Physiological, cellular and medical topics, Fractional ordinary differential equations, fixed point postulate, smoking model, Fractional derivatives and integrals, uniqueness, fractional differential equations
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Singh, Jagdev...et al. (2017). A new fractional model for giving up smoking dynamics, Advances in Difference Equations.
WoS Q
Q1
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OpenCitations Citation Count
124
Source
Advances in Difference Equations
Volume
2017
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CrossRef : 25
Scopus : 159
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159
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