LP-solutions for fractional integral equations

✍ Scribed by Arshad, Sadia; Lupulescu, Vasile; O’Regan, Donal

• Book ID: 121440789
• Publisher: SP Versita
• Year: 2014
• Tongue: English
• Weight: 243 KB
• Volume: 17
• Category: Article
• ISSN: 1311-0454
• DOI: 10.2478/s13540-014-0166-4

✦ Synopsis

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.