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LP-solutions for fractional integral equations
1COMSATS Institute of Information Technology, M. A. Jinnah Building, Ali Akbar Road, Lahore, Pakistan
2Abdus Salam School of Mathematical Sciences, GC University, 68-B New Muslim Town, Lahore, Pakistan
3Constantin Brancusi University, Republicii 1, 210152, Targu-Jiu, Romania
4School of Mathematics, Statistics and Applied Mathematics National University of Ireland, University Road, Galway, Ireland
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Citation Information: Fractional Calculus and Applied Analysis. Volume 17, Issue 1, Pages 259–276, ISSN (Online) 1314-2224, DOI: 10.2478/s13540-014-0166-4, December 2013
- Published Online:
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.