Abstract and Applied Analysis

On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations

Ahmed Alsaedi, Bashir Ahmad, and Afrah Assolami

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Abstract

We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q ( 4 , 5 ] . Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow from the solution of the problem at hand. Our results are new and generalize the existing results on anti-periodic fractional boundary value problems. The paper concludes with some illustrating examples.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 325984, 15 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365168374

Digital Object Identifier
doi:10.1155/2012/325984

Mathematical Reviews number (MathSciNet)
MR2959741

Zentralblatt MATH identifier
1251.34009

Citation

Alsaedi, Ahmed; Ahmad, Bashir; Assolami, Afrah. On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 325984, 15 pages. doi:10.1155/2012/325984. https://projecteuclid.org/euclid.aaa/1365168374


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