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Fractional Calculus and Applied Analysis

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LP-solutions for fractional integral equations

Sadia Arshad
  • COMSATS Institute of Information Technology, M. A. Jinnah Building, Ali Akbar Road, Lahore, Pakistan
  • Abdus Salam School of Mathematical Sciences, GC University, 68-B New Muslim Town, Lahore, Pakistan
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/ Vasile Lupulescu
  • Abdus Salam School of Mathematical Sciences, GC University, 68-B New Muslim Town, Lahore, Pakistan
  • Constantin Brancusi University, Republicii 1, 210152, Targu-Jiu, Romania
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/ Donal O’Regan
  • School of Mathematics, Statistics and Applied Mathematics National University of Ireland, University Road, Galway, Ireland
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Published Online: 2013-12-28 | DOI: https://doi.org/10.2478/s13540-014-0166-4

Abstract

In this article, we examine L p-solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions. Also other types of existence and uniqueness results are established. At the end, an application is given to illustrate the main result.

MSC: Primary 26A33; Secondary 34A07, 47H08, 35A01

Keywords: fractional integral equations; Lp-solutions; measure of noncompactness; existence and uniqueness results

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About the article

Published Online: 2013-12-28

Published in Print: 2014-03-01


Citation Information: Fractional Calculus and Applied Analysis, ISSN (Online) 1314-2224, DOI: https://doi.org/10.2478/s13540-014-0166-4.

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