Existence results of noninstantaneous impulsive fractional integro-differential equation

被引：8

作者：

Kataria, Haribhai R. ^{[1
]}

Patel, Prakashkumar H. ^{[1
]}

Shah, Vishant ^{[2
]}

机构：

[1] Maharaja Sayajirao Univ Baroda, Dept Math, Fac Sci, Vadodara 390001, India

[2] Maharaja Sayajirao Univ Baroda, Dept Appl Math, Fac Technol & Engn, Vadodara 390001, India

来源：

DEMONSTRATIO MATHEMATICA | 2020年 / 53卷 / 01期

关键词：

fractional integro-differential equation; semigroup; noninstantaneous impulses; fixed point theorem; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM; MILD SOLUTION; UNIQUENESS;

D O I：

10.1515/dema-2020-0029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Existence of mild solution for noninstantaneous impulsive fractional order integro-differential equations with local and nonlocal conditions in Banach space is established in this paper. Existence results with local and nonlocal conditions are obtained through operator semigroup theory using generalized Banach contraction theorem and Krasnoselskii's fixed point theorem, respectively. Finally, illustrations are added to validate derived results.

引用

页码：373 / 384

页数：12

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