Existence results for a class of generalized fractional boundary value problems

Advances in Difference Equations

Zhoushun Zheng¹  Wen Cao¹  Y Xu¹ 

[1] Department of Mathematics and Statistics, Central South University, Changsha, China

关键词: fractional calculus;    generalized fractional derivative;    fractional boundary value problem;    fixed point theorem;    existence result;   

DOI  :  10.1186/s13662-017-1374-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a class of generalized fractional order three-point boundary value problems that involve fractional derivative defined in terms of weight and scale functions. Using several fixed point theorems, the existence and uniqueness results are obtained.

【 授权许可】

CC BY