## Abstract and Applied Analysis

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

#### Abstract

We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order $q\in (4,5]$. 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

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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