Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses

Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses
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DOI:
10.1016/j.amc.2015.02.069
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发表时间:
2015-05-15
影响因子:
4
通讯作者:
Dabas, Jaydev
Dabas, Jaydev
中科院分区:
数学2区
文献类型:
--
作者:
Gautam, Ganga Ram;Dabas, Jaydev

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本文给出了一类非瞬时脉冲的抽象半线性中立型分数阶微分方程温和解的存在性结果。利用解析α-预解式族理论和不动点定理证明了所得结果。给出了一个涉及脉冲偏微分方程的应用。(C)2015 Elsevier Inc. All rights reserved.
This article contains the existence results of the mild solutions of an abstract semilinear neutral fractional differential equations with not instantaneous impulses. The results are proved by using the theory of analytic alpha-resolvent family and fixed point theorems. One application involving partial differential equations with impulses are presented. (C) 2015 Elsevier Inc. All rights reserved.