文章基本信息

标题：Fractional neutral evolution equations with nonlocal conditions
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作者：Hamdy M Ahmed
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：117
DOI：10.1186/1687-1847-2013-117
语种：English
出版社：Hindawi Publishing Corporation
摘要：In the present paper, we deal with the fractional neutral differential equations involving nonlocal initial conditions. The existence of mild solutions are established. The results are obtained by using the fractional power of operators and the Sadovskii’s fixed point theorem. An application to a fractional partial differential equation with nonlocal initial condition is also considered. MSC:26A33, 34K30, 34K37, 34K40.
关键词：fractional calculus ; semilinear neutral differential equations ; semigroups ; nonlocal conditions ; mild solutions ; Sadovskii fixed-point theorem