文章基本信息

标题：Existence and uniqueness for a class of iterative fractional differential equations
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作者：Rabha W Ibrahim ; Adem Kılıçman ; Faten H Damag 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：78
DOI：10.1186/s13662-015-0421-y
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：Fractional Derivative ; Fixed Point Theorem ; Fractional Calculus ; Fractional Differential Equation ; Caputo Derivative