Analysis of a fractional boundary value problem involving Riesz-Caputo fractional derivative

Year 2022, Volume: 6 Issue: 1, 14 - 27, 31.03.2022

Abdellatif Boutiara , Naas Adjimi , Maamar Benbachır , Mohammed Abdo

https://doi.org/10.31197/atnaa.927938

Cited By: 2

Abstract

This paper concerned with study the existence and uniqueness of solutions for
a class of fractional differential equations with boundary conditions
involving the Riesz-Caputo type fractional derivatives. We apply the methods
of functional analysis such that the uniqueness result is established using
the Banach contraction principle, whereas existence results are obtained using
Schaefer's and Krasnoslkii's fixed theorems. Some examples are given to
illustrate our acquired results.

Keywords

Riesz-Caputo derivative, Boundary value problem, fixed point theorem

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