Abstract and Applied Analysis

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

Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, and Hana Al-Hutami

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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

Permanent link to this document
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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