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Lp-solutions for fractional integral equations

Arshad, Sadia
; 
Lupulescu, Vasile
; 
O’Regan, Donal

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http://hdl.handle.net/10379/10295
 https://doi.org/10.13025/28397

Date

2014-01-01

Keywords

Externally hosted open access publications with University of Galway authors , l-p-solutions , measure of noncompactness , existence and uniqueness results

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journal 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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