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Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative.

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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… Click to show full 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.

Keywords: caputo; numerical solutions; fractional derivative; model; existence theory; theory numerical

Journal Title: Chaos
Year Published: 2019

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