On the Analysis of Fractional Diabetes Model With Exponential Law
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Abstract
In this work, we study the diabetes model and its complications with the Caputo-Fabrizio fractional derivative. A deterministic mathematical model pertaining to the fractional derivative of the diabetes mellitus is discussed. The analytical solution of the diabetes model is derived by exerting the homotopy analysis method, the Laplace transform and the Pade approximation. Moreover, existence and uniqueness of the solution are examined by making use of fixed point theory and the Picard-Lindelof approach. Ultimately, for illustrating the obtained results some numerical simulations are performed.
Description
Kumar, Devendra/0000-0003-4249-6326
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Keywords
Fractional Diabetes Model, Picard-Lindelof Approach, Fixed Point Theorem, Homotopy Analysis Method, Laplace Transform, Picard–Lindelof Approach, Financial economics, Laplace transform, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Fractional diabetes model, Numerical Analysis, Fixed point theorem, Applied Mathematics, Exponential function, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Fractional Derivatives, Homotopy analysis method, Modeling and Simulation, Derivative (finance), Physical Sciences, Uniqueness, Homotopy, Picard–Lindelof approach, Mathematics, Ordinary differential equation, Picard-Lindelof approach, fixed point theorem, Fractional ordinary differential equations, Nonlinear ordinary differential equations and systems, Fractional derivatives and integrals, Medical applications (general), Theoretical approximation of solutions to ordinary differential equations, fractional diabetes model, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., homotopy analysis method
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru (2018). On the analysis of fractional diabetes model with exponential law, Advances in Difference Equations.
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114
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2018
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1
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