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标题：Impulsive Hilfer fractional differential equations
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作者：Hamdy M. Ahmed ; Mahmoud M. El-Borai ; Hassan M. El-Owaidy 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：2018
卷号：2018
期号：1
页码：226
DOI：10.1186/s13662-018-1679-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established, where the time fractional derivative is the Hilfer derivative. An example for Sobolev-type Hilfer fractional delay partial differential equation with impulsive condition is considered.
关键词：Impulsive condition ; Sobolev-type Hilfer fractional differential equation ; Controllability ; Approximate controllability ; Contraction mapping principle