Existence and uniqueness of solutions for impulsive fractional differential equations

被引：37
|
作者：
Rehman, Mujeeb Ur [1 ]
Eloe, Paul W. [2 ]
机构：
[1] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Sect H12, Islamabad, Pakistan
[2] Univ Dayton, Dept Math, Dayton, OH 45469 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 224卷
关键词：
Fractional calculus; Impulsive equations; Boundary value problems; BOUNDARY-VALUE-PROBLEMS; ORDER;
D O I：
10.1016/j.amc.2013.08.088
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by some recent developments in the existence theory of impulsive fractional differential equations, in this paper we present a general method for converting an impulsive fractional differential equation to an equivalent integral equation. The applicability of the method is demonstrated by considering some boundary value problems for impulsive fractional differential equations. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：422 / 431
页数：10
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