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

被引：9

作者：

Alsaedi, Ahmed ^{[1
]}

Ntouyas, Sotiris K. ^{[1
,2
]}

Ahmad, Bashir ^{[1
]}

Hobiny, Aatef ^{[1
]}

机构：

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math, Dept Math, Res Grp,Fac Sci, Jeddah 21589, Saudi Arabia

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

Hadamard fractional derivative; integral boundary conditions; fixed point; theorems; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1186/s13662-015-0589-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：13

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