CONTROLLABILITY RESULTS FOR SOBOLEV TYPE ψ-HILFER INTEGRO-DIFFERENTIAL EQUATIONS IN HILBERT SPACE

被引：8

作者：

Bouacida, Ichrak ^{[1
]}

Kerboua, Mourad ^{[1
]}

Segni, Sami ^{[1
]}

机构：

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

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2023年 / 12卷 / 01期

关键词：

Approximate controllability; fractional Sobolev type integro-differential equations; psi-Hilfer fractional derivative; mild solution; fixed point theorem; nonlocal condition; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS;

D O I：

10.3934/eect.2022028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the approximate controllability for Sobolev type psi-Hilfer fractional backward perturbed integro-differential equations with psi- fractional non local conditions in a Hilbert space are studied. A new set of sufficient conditions are established by using semigroup theory, psi-Hilfer fractional calculus and the Schauder's fixed point theorem. The results are obtained under the assumption that the associate backward psi- fractional linear system is approximately controllable. Finally, an example is given to illustrate the obtained results.

引用

页码：213 / 229

页数：17

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