Multi-strip fractional q -integral boundary value problems for nonlinear fractional q -difference equations

Advances in Difference Equations

Jessada Tariboon²  Nittaya Pongarm²  Suphawat Asawasamrit³  Sotiris K Ntouyas³ 

[1] Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

关键词: fractional q-calculus;    boundary value problems;    existence;    uniqueness;   

DOI  :  10.1186/1687-1847-2014-193

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we study the existence and uniqueness of solutions for multi-strip fractional q-integral boundary value problems of nonlinear fractional q-difference equations. By using the Banach contraction principle, Krasnoselskii’s fixed point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder degree theory some interesting results are obtained. Some examples are presented to illustrate the results. MSC:34A08, 34B18, 39A13.

【 授权许可】

CC BY