PC-Almost Automorphic Solution of Impulsive Fractional Differential Equations

被引：16

作者：

Mahto, Lakshman ^{[1
]}

Abbas, Syed ^{[1
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 03期

关键词：

Fractional operators; alpha-resolvent family of bounded linear operators; PC-almost automorphic function; fixed point theorems;

D O I：

10.1007/s00009-014-0449-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a PC-almost automorphic function and establish the composition theorem, which is an important result from application point of view. As an application, we study the existence of almost automorphic solution to impulsive fractional functional differential equations with the assumption that the forcing term is almost automorphic. The results are established by fixed point methods and alpha-resolvent family of bounded linear operators. At the end, some examples are given to illustrate our analytic findings.

引用

页码：771 / 790

页数：20

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