Existence of Solutions for Fractional q-Integrodifference Equations with Nonlocal Fractional q-Integral Conditions. (9th July 2014)

• Record Type: Journal Article
• Authors: Asawasamrit, Suphawat; Tariboon, Jessada; Ntouyas, Sotiris K.
• Other Names: Srivastava H. M. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-07-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/474138
• Languages: English
• ISSNs: 1085-3375

Abstract

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.