Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions

Advances in Difference Equations

Bashir Ahmad¹  Aatef Hobiny²  Sotiris K Ntouyas²  Ahmed Alsaedi² 

[1] Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, Abdulaziz University, Jeddah, Saudi Arabia

关键词: Hadamard fractional derivative;    integral boundary conditions;    fixed point theorems;    34A60;    34A08;   

DOI  :  10.1186/s13662-015-0589-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the existence and uniqueness of solutions for a boundary value problem of nonlinear Hadamard fractional differential equations and nonlocal non-conserved boundary conditions in terms of Hadamard integral. Our results are new in the present configuration and are based on some classical ideas of fixed point theory. We present several examples for the illustration of main results. A companion problem has also been studied. The paper concludes with some interesting observations.

【 授权许可】

CC BY