CONTROLLABILITY OF HILFER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF SOBOLEV-TYPE WITH A NONLOCAL CONDITION IN A BANACH SPACE

被引：19

作者：

Kumar, Ankit ^{[1
]}

Jeet, Kamal ^{[1
]}

Vats, Ramesh kumar ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math & Sci Comp, Hamirpur 177005, India

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 02期

关键词：

Hilfer fractional derivative; Sadovskii's fixed point theorem; measure of noncompactness; Sobolev-type; Exact controllability; SYSTEMS; EXISTENCE;

D O I：

10.3934/eect.2021016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to establish sufficient conditions for the exact controllability of the nonlocal Hilfer fractional integro-differential system of Sobolev-type using the theory of propagation family {P(t), t >= 0} generated by the operators A and R. For proving the main result we do not impose any condition on the relation between the domain of the operators A and R. We also do not assume that the operator R has necessarily a bounded inverse. The main tools applied in our analysis are the theory of measure of noncompactness, fractional calculus, and Sadovskii's fixed point theorem. Finally, we provide an example to show the application of our main result.

引用

页码：605 / 619

页数：15

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