Existence and Controllability Results of Impulsive Fractional Neutral Integro-differential Equation with Sectorial Operator and Infinite Delay

被引：2

作者：

Chalishajar, D. N. ^{[1
]}

Malar, K. ^{[2
]}

Ilavarasi, R. ^{[2
]}

机构：

[1] Virginia Mil Inst, Dept Appl Math, Lexington, VA 24450 USA

[2] Erode Arts & Sci Coll, Dept Math, Erode 638009, Tamil Nadu, India

来源：

SIXTH INTERNATIONAL CONFERENCE NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2019) | 2019年 / 2159卷

关键词：

DIFFERENTIAL-EQUATIONS;

D O I：

10.1063/1.5127471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the existence, uniqueness and controllability results for fractional impulsive neutral functional integro-differential evolution equation in Banach spaces. The main techniques depend on the fractional calculus properties of characteristic solution operators and sectorial operators. Particulary, we do not consider that the system produces a compact semi-group. So we claim that phase space for infinite delay with impulse. Finally an example is given to illustrate for our required results.

引用

页码：77 / 106

页数：20

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