Boundary value problem for nonlinear fractional differential equations with delay

Advances in Difference Equations

Mujeeb Ur Rehman¹  Pang Denghao²  Jiang Wei²  Azmat Ullah Khan Niazi² 

[1] Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, Pakistan;School of Mathematical Sciences, Anhui University, Hefei, China

关键词: fractional functional differential equation;    boundary value problem;    existence and uniqueness of solutions;    34K37;    34B15;   

DOI  :  10.1186/s13662-017-1090-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We discuss the existence and uniqueness of a solution of a boundary value problem for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative. Our work relies on the Schauder fixed point theorem and contraction mapping principle in a cone. We also include examples to show the applicability of our results.

【 授权许可】

CC BY