Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition

Advances in Difference Equations

Yabing Gao¹  Pengyu Chen² 

[1] Department of Mathematics, Northwest Normal University, Lanzhou, People’s Republic of China

关键词: nonlinear fractional differential equation;    nonlocal boundary value problem;    monotone iterative technique of upper and lower solutions;    26A33;    34B10;    34B15;   

DOI  :  10.1186/s13662-016-1034-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition by using the monotone iterative technique based on the method of upper and lower solutions and give a specific iterative equation about its solutions.

【 授权许可】

CC BY