Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

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

References

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