Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation

Zhiping Liu; Shugui Kang; Huiqin Chen; Jianmin Guo; Yaqiong Cui; Caixia Guo

doi:10.1155/2015/206261

Discrete Dynamics in Nature and Society (Jan 2015)

Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation

Zhiping Liu,
Shugui Kang,
Huiqin Chen,
Jianmin Guo,
Yaqiong Cui,
Caixia Guo

Affiliations

Zhiping Liu: Department of Mathematics, North University of China, Shanxi, Taiyuan 030051, China
Shugui Kang: School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China
Huiqin Chen: School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China
Jianmin Guo: School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China
Yaqiong Cui: School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China
Caixia Guo: School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, China

DOI: https://doi.org/10.1155/2015/206261
Journal volume & issue: Vol. 2015

Abstract

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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.

Published in Discrete Dynamics in Nature and Society

ISSN: 1026-0226 (Print); 1607-887X (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/ddns/

About the journal