Abstract and Applied Analysis

Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions

Mohamed I. Abbas

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Abstract

We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results.

Article information

Source
Abstr. Appl. Anal., Volume 2015 (2015), Article ID 290674, 6 pages.

Dates
First available in Project Euclid: 28 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1453944257

Digital Object Identifier
doi:10.1155/2015/290674

Mathematical Reviews number (MathSciNet)
MR3442607

Zentralblatt MATH identifier
06929253

Citation

Abbas, Mohamed I. Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions. Abstr. Appl. Anal. 2015 (2015), Article ID 290674, 6 pages. doi:10.1155/2015/290674. https://projecteuclid.org/euclid.aaa/1453944257


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