Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem

被引：8

作者：

Katatbeh, Qutaibeh ^{[1
]}

Al-Omari, Ahmad ^{[2
]}

机构：

[1] Jordan Univ Sci & Technol, Fac Sci & Arts, Dept Math & Stat, Irbid 22110, Jordan

[2] Al al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 03期

关键词：

Hadamard fractional derivative; integral boundary conditions; fixed point theorems; impulsive equations; INTEGRATION; EQUATIONS;

D O I：

10.22436/jnsa.009.03.11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence and uniqueness of a mild and classical solution to impulsive nonlocal conditions fractional-order Hadamard-type Cauchy problem. The results are obtained by means of fixed point methods. Finally, we illustrate our results by an example of fractional-order Hadamard-type Cauchy problem. (C)2016 All rights reserved.

引用

页码：827 / 835

页数：9

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