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Fractional Calculus and Applied Analysis

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Fuzzy fractional integral equations under compactness type condition

1Department of Mathematics, Texas A&M University-Kingvsille, 700 University Blvd., Kingsville, TX, 78363-8202, USA

2Abdus Salam School of Mathematical Sciences GC University, 68-B New Muslim Town, Lahore, Pakistan

3School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, Galway, Ireland

4Constantin Brancusi University, Republicii 1, 210152, Targu-Jiu, Romania

© 2012 Diogenes Co., Sofia. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Fractional Calculus and Applied Analysis. Volume 15, Issue 4, Pages 572–590, ISSN (Online) 1314-2224, ISSN (Print) 1311-0454, DOI: 10.2478/s13540-012-0040-1, September 2012

Publication History

Published Online:
2012-09-29

Abstract

In this paper we study a fuzzy fractional integral equation. The fractional derivative is considered in the sense of Riemann-Liouville and we establish existence of the solutions of fuzzy fractional integral equations using the Hausdorff measure of noncompactness.

MSC: Primary 26A33; Secondary 34A07, 45D05, 47H08, 74H20

Keywords: fractional calculus; fuzzy fractional integral equation; measure of noncompactness; existence of solution

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