Existence of solutions to nonlinear fractional differential equations with boundary conditions on an infinite interval in Banach spaces

Boundary value problems

Caozong Cheng¹  Jingjing Tan¹ 

[1] College of Applied Science, Beijing University of Technology, Beijing, P.R. China

关键词: fractional differential equation;    boundary value problem;    fixed point theorem;    Banach space;   

DOI  :  10.1186/s13661-015-0419-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a system of nonlinear differential equations in a Banach space with boundary conditions on an infinite interval and provide sufficient conditions for the existence of solutions of the system. Our method relies upon the properties of the Kuratowski noncompactness measure and the Sadovskii fixed point theorem. An example is given to illustrate the main results.

【 授权许可】

CC BY