On the existence of solutions of fractional integro-differential equations-Reference-Cited by-同舟云学术

On the existence of solutions of fractional integro-differential equations

Published:2011-12-29 Issue:1 Volume:15 Page:44-69
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Aghajani Asadollah¹,Jalilian Yaghoub²,Trujillo Juan³

Affiliation:

1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

2. Department of Mathematics, Razi University, Kermanshah, 67149, Iran

3. Departamento de Análisis Matemático, Universidad de La Laguna, 38271, La Laguna, Tenerife, Spain

Abstract

Abstract Under some suitable conditions, we prove the solvability of a large class of nonlinear fractional integro-differential equations by establishing some fractional integral inequalities and using the nonlinear alternative Leray-Schauder type. The uniqueness of solutions is also proved in some situations.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-012-0005-4.pdf

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