On boundary value problems of higher order abstract fractional integro-differential equations

Document Type : Research Paper

Authors

1 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India.

2 Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India.

Abstract

The aim of this paper is to establish the existence of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H\"{o}lder inequality, Krasnoselskii's fixed point theorem and nonlinear alternative of Leray-Schauder type. Examples are exhibited to illustrate the main results.

Keywords

International Journal of Nonlinear Analysis and Applications
Volume 7, Issue 2 - Serial Number 2
Winter and Spring 2016
Pages 165-184

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