Controllability of Impulsive Fractional Integro-Differential Evolution Equations

被引：3
|
作者：
Gou, Haide [1 ]
Li, Yongxiang [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2021年 / 175卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Fractional evolution equation; Controllability; Measure of noncompactness; (alpha; beta)-resolvent family; Fixed point theorem; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; SYSTEMS; EXISTENCE;
D O I：
10.1007/s10440-021-00433-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the controllability for a class of impulsive fractional integro-differential evolution equation in a Banach space. Sufficient conditions of the existence of mild solutions and approximate controllability for the concern problem are presented by considering the term u' (.) and finding a control v such that the mild solution satisfies u(b) = u(b) and u' (b) = u(b)'. The discussions are based on Monch fixed point theorem as well as the theory of fractional calculus and (alpha, beta)-resolvent operator. Finally, an example is given to illustrate the feasibility of our results.
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页数：27
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