Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces

Advances in Difference Equations

Weidong Lv¹ 

[1] School of Mathematics and Statistics, Longdong University, Qingyang, P.R. China

关键词: discrete fractional mixed type sum-difference equation;    boundary value problem;    Banach space;    existence and uniqueness;    Banach contraction mapping principle;   

DOI  :  10.1186/1687-1847-2014-184

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of a unique solution to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. Under certain suitable nonlinear growth conditions imposed on the nonlinear term, the existence and uniqueness result is established by using the Banach contraction mapping principle. Additionally, two representative examples are presented to illustrate the effectiveness of the main result. MSC:26A33, 39A05, 39A10, 39A12.

【 授权许可】

CC BY