Separated boundary value problem for fractional differential equations depending on lower-order derivative

Advances in Difference Equations

Zhenhai Liu¹  Xiaoyou Liu² 

[1] School of Mathematical Science and Computing Technology, Central South University, Changsha, P.R. China;School of Science, Guangxi University for Nationalities, Nanning, P.R. China

关键词: fractional differential equations;    fractional separated boundary conditions;    fixed point theorems;    existence;   

DOI  :  10.1186/1687-1847-2013-78

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We study a new class of boundary value problems of nonlinear fractional differential equations whose nonlinear term depends on a lower-order fractional derivative with fractional separated boundary conditions. Some existence and uniqueness results are obtained by using standard fixed point theorems. Examples are given to illustrate the results.

【 授权许可】

CC BY