Existence of Solutions for Fractionalq-Integrodifference Equations with Nonlocal Fractionalq-Integral Conditions

Suphawat Asawasamrit, Jessada Tariboon, Sotiris K. Ntouyas
2014 Abstract and Applied Analysis  
We study a class of fractionalq-integrodifference equations with nonlocal fractionalq-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.
doi:10.1155/2014/474138 fatcat:6a672atnujgddn4q5mhhynrvom