- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 2
- Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions
Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions
Authors : Naas ADJİMİ, Maamar BENBACHIR
Pages : 215-228
Doi:10.31197/atnaa.711191
View : 4 | Download : 1
Publication Date : 2021-06-30
Article Type : Research
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