Existence of a class of fractional difference equations with two point boundary value problem

Advances in Difference Equations

Hamid A Jalab¹  Rabha W Ibrahim¹ 

[1] Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur, Malaysia

关键词: fractional calculus;    fractional difference equation;    fixed point theory;    39A12;    34B15;   

DOI  :  10.1186/s13662-015-0609-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper studies a fractional difference equation of two point boundary value problem (BVP) type, which is recognized as the ‘discrete’ BVP. Certain cases are expressed under which the discrete boundary value problems (DBVP) will have a single solution. The novelty hither comprises a method selection of metric and employment of Hölder’s inequality. This attitude allows the related functions to be contractive, which were earlier non-contractive in classical regularities. This consequently qualifies an enhanced application of Banach’s fixed point theorem for classifying a more extensive framework of issues than those which appeared in the current designs.

【 授权许可】

CC BY