Existence and Uniqueness of Solutions for Nonlinear Ψ-Fractional Differential Equations and their System

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Date

2024-06

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UNIVERSITY MOHAMED BOUDIAF - M’SILA, Faculty of Mathematics and Computer Science, Department of Mathematics

Abstract

This work studies the existence and uniqueness of solutions for a class of non-linear fractional differential equations and their system via the ψfractional derivatives with boundary values. The arguments for the study are based upon the BANACH contraction principle, SCHAEFER fixed point theorem. Moreover, some examples are shown to appear the strength of our significant result.

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Keywords

Ψ-fractional differential equations, fixed point, n nonlinear ψ -fractional differential equations, existence, uniqueness, ψ- fractional operator, a system of differential equations

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