## Abstract and Applied Analysis

### Existence Theory for $q$-Antiperiodic Boundary Value Problems of Sequential $q$-Fractional Integrodifferential Equations

#### Abstract

We discuss the existence and uniqueness of solutions for a new class of sequential $q$-fractional integrodifferential equations with $q$-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 207547, 12 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412606571

Digital Object Identifier
doi:10.1155/2014/207547

Mathematical Reviews number (MathSciNet)
MR3206773

Zentralblatt MATH identifier
07021928

#### Citation

Agarwal, Ravi P.; Ahmad, Bashir; Alsaedi, Ahmed; Al-Hutami, Hana. Existence Theory for $q$ -Antiperiodic Boundary Value Problems of Sequential $q$ -Fractional Integrodifferential Equations. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 207547, 12 pages. doi:10.1155/2014/207547. https://projecteuclid.org/euclid.aaa/1412606571

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