Existence and uniqueness of the solutions for a nonlinear time-conformable fractional reaction-diffusion equations with delay
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Date
2023-06-10
Journal Title
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Publisher
University of M'sila
Abstract
In this work, two coupled systems for nonlinear time-conformable fractional reaction-diffusion equation with delay have been considered. Under some hypotheses in given data we have proved first the existence of the
solution for both systems by using Leary-Schauder fixed point theorem. After, we have showed the uniqueness of
the solution for the same two systems by using the contraction mapping theorem.
Description
Keywords
Nonlinear reaction-diffusion equation, fractional conformable calculus, delay, Leary-Schauder fixed point theorem, contraction mapping theorem.