Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space

Boundary value problems

Xin-yun Zhu¹  Weidong Lv² 

[1] Department of Mathematics, University of Texas of the Permian Basin, Odessa, USA;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;    noncompactness measure;    fixed point theorem;    26A33;    39A05;    39A10;    39A12;   

DOI  :  10.1186/s13661-016-0585-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by means of Darbo’s fixed point theorem, we establish the existence of solutions to a nonlinear discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. Additionally, as an application, we give an example to demonstrate the main result.

【 授权许可】

CC BY