Abstract and Applied Analysis

Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions

Suphawat Asawasamrit, Jessada Tariboon, and Sotiris K. Ntouyas

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Abstract

We study a class of fractional q-integrodifference equations with nonlocal fractional q-integral boundary conditions which have different quantum numbers. By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray-Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. In addition, some examples to illustrate our results are given.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 474138, 12 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425048183

Digital Object Identifier
doi:10.1155/2014/474138

Mathematical Reviews number (MathSciNet)
MR3232840

Zentralblatt MATH identifier
07022445

Citation

Asawasamrit, Suphawat; Tariboon, Jessada; Ntouyas, Sotiris K. Existence of Solutions for Fractional q -Integrodifference Equations with Nonlocal Fractional q -Integral Conditions. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 474138, 12 pages. doi:10.1155/2014/474138. https://projecteuclid.org/euclid.aaa/1425048183


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