Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

Year 2021, , 215 - 228, 30.06.2021

Naas Adjimi Maamar Benbachır

https://doi.org/10.31197/atnaa.711191

Cited By: 1

Abstract

In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems. Four examples are given in order to clarify theoretical results.

Keywords

Katugampola Fractional Derivative, Erdelyi-Kober Fractional integral, Boundary value problem, fixed point theorem

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