On nonlocal fractional sum-difference boundary value problems for Caputo fractional functional difference equations with delay

Advances in Difference Equations

Thanin Sitthiwirattham¹  Bunjong Kaewwisetkul² 

[1] Department of Mathematics, Faculty of Applied Science, King Mongkut’Department of Mathematics, Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin, Nakhon Pathom, Thailand;s University of Technology North Bangkok, Bangkok, Thailand

关键词: Caputo fractional functional difference equations;    boundary value problem;    delay;    existence;    39A05;    39A12;   

DOI  :  10.1186/s13662-017-1283-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we study the existence and uniqueness results for a nonlocal fractional sum-difference boundary value problem for a Caputo fractional functional difference equation with delay, by using the Schauder fixed point theorem and the Banach contraction principle. Finally, we present some examples to display the importance of these results.

【 授权许可】

CC BY