Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation. (4th August 2015)

• Record Type: Journal Article
• Authors: Liu, Zhiping; Kang, Shugui; Chen, Huiqin; Guo, Jianmin; Cui, Yaqiong; Guo, Caixia
• Other Names: Goodrich Chris Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-08-04
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/206261
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We investigate the existence of solutions for a Caputo fractional difference equation boundary value problem. We use Schauder fixed point theorem to deduce the existence of solutions. The proofs are based upon the theory of discrete fractional calculus. We also provide some examples to illustrate our main results.