NULL CONTROLLABILITY OF ?-HILFER IMPLICIT FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ?-HILFER FRACTIONAL NONLOCAL CONDITIONS

被引：8

作者：

Kerboua, Mourad ^{[1
]}

Bouacida, Ichrak ^{[1
]}

Segni, Sami ^{[1
]}

机构：

[1] Univ 8 Mai 1945 Guelma, Lab Math Appl & Modelisat, BP 401, Guelma 24000, Algeria

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2023年 / 12卷 / 06期

关键词：

Null controllability; fractional integro-differential equations; psi-Hilfer fractional derivative; mild solution; fixed point theorem; nonlocal condition; APPROXIMATE CONTROLLABILITY; ATTRACTIVITY; STABILITY;

D O I：

10.3934/eect.2023021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study exact null controllability of a new class of non local ?- Hilfer implicit fractional integro-differential equations in Hilbert space. The results are obtained by using semigroup theory, ?-Hilfer fractional calculus and Banach's fixed point theorem. Finally, we provide an example to illustrate the applicability of our results.

引用

页码：1473 / 1491

页数：19

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