Abdellatif BOUTİARA, Naas ADJİMİ, Maamar BENBACHIR, Mohammed ABDO

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

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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