Publication

Lp-solutions for fractional integral equations

Arshad, Sadia
; 
Lupulescu, Vasile
; 
O’Regan, Donal
Identifiers
http://hdl.handle.net/10379/10295
 https://doi.org/10.13025/28397
Publication Date
2014-01-01
Keywords
fractional integral equations, l-p-solutions, measure of noncompactness, existence and uniqueness results
Type
Article
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Citation
Arshad, Sadia; Lupulescu, Vasile; O’Regan, Donal (2014). Lp-solutions for fractional integral equations. Fractional Calculus and Applied Analysis 17 (1), 259-276
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.
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Publisher
Walter de Gruyter GmbH
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)