Existence and uniqueness for a class of iterative fractional differential equations

被引：10
|
作者：
Ibrahim, Rabha W. [1 ]
Kilicman, Adem [2 ]
Damag, Faten H. [2 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Malaysia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
Fractional Derivative; Fixed Point Theorem; Fractional Calculus; Fractional Differential Equation; Caputo Derivative;
D O I：
10.1186/s13662-015-0421-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The presence of a self-mapping increases the difficulty in proving the existence and uniqueness of solutions for general iterative fractional differential equations. In this article, we provide conditions for the existence and uniqueness of solutions for the initial value problem. We also determine the Burton stability of such equations. The arbitrary order case is taken in the sense of Riemann-Liouville fractional operators.
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页码：1 / 13
页数：13
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