Hadamard-type fractional functional differential equations and inclusions with retarded and advanced arguments

Advances in Difference Equations

Ravi P Agarwal¹  Bashir Ahmad²  Sotiris K Ntouyas³  Abdullah K Alzahrani⁴ 

[1] Department of Mathematics, Texas A&Department of Mathematics, University of Ioannina, Ioannina, Greece;M University, Kingsville, USA;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: functional differential equation;    fractional derivative;    retarded argument;    advanced argument;    existence;    34A08;    34K05;   

DOI  :  10.1186/s13662-016-0810-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for boundary value problems of Hadamard-type fractional functional differential equations and inclusions involving both retarded and advanced arguments. We make use of the standard tools of fixed point theory to obtain the main results.

【 授权许可】

CC BY