Mild solutions and controllability of fractional evolution inclusions of Clarke's subdifferential type with nonlocal conditions in Hilbert spaces

被引：3

作者：

Hussain, Sadam ^{[1
]}

Sarwar, Muhammad ^{[1
]}

Rahmat, Gul ^{[2
]}

Aydi, Hassen ^{[3
,4
,5
]}

De La Sen, Manuel ^{[6
]}

机构：

[1] Univ Malakand, Dept Math, Dir Lower, Pakistan

[2] Islamia Coll Peshawar, Dept Math, Peshawar, Pakistan

[3] Univ Sousse, Inst Super Informat & Tech Commun, H Sousse 4000, Tunisia

[4] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, Ga Rankuwa, South Africa

[5] China Med Univ, China Med Univ Hosp, Taichung 40402, Taiwan

[6] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Dept Elect & Elect, Campus Leioa, Leioa 48940, Bizkaia, Spain

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 80卷

关键词：

Controllability; Clarke's subdifferential type; Fixed point theorem; Nonlocal conditions; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.aej.2023.08.008

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, our aim is to ensure the existence of mild solutions and study the controllability of fractional evolution inclusions of Clarke's subdifferential type of order �� & ISIN; (1, 2) with nonlocal conditions in the setting of Hilbert spaces. Using fixed point techniques, fractional calculus, multivalued maps, cosine and sine function operators, we discuss the existence of mild solutions for the considered system. Moreover, under suitable conditions, we investigate the controllability of the proposed system. Finally, we present an illustrated example.

引用

页码：58 / 73

页数：16

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