New results on approximate controllability of fractional delay integrodifferential systems of order 1 <r < 2 with Sobolev-type

被引：4

作者：

Ma, Yong-Ki ^{[1
]}

Raja, M. Mohan ^{[2
]}

Shukla, Anurag ^{[3
]}

Vijayakumar, V. ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[4
]}

Thilagavathi, K. ^{[2
]}

机构：

[1] Kongju Natl Univ, Dept Appl Math, Chungcheongnam Do 32588, South Korea

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj 209732, India

[4] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 81卷

基金：

新加坡国家研究基金会;

关键词：

Fractional derivatives and integrals; Fixed point techniques; Sobolev-type; Cosine families; Mild solutions; DIFFERENTIAL-INCLUSIONS; EQUATIONS; EXISTENCE;

D O I：

10.1016/j.aej.2023.09.043

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this manuscript, we look at fractional evolution integrodifferential systems with infinite delay of order r is an element of (1, 2) with control problems. To begin, we establish the mild solution for the given system. Further, we look at the approximate controllability outcomes utilizing multivalued functions, Sobolev-type, nonlocal circumstances, fractional analysis, fixed point technique, and cosine families. Finally, an application for generating the primary outcome theory has been created.

引用

页码：501 / 518

页数：18

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New results on approximate controllability of fractional delay integrodifferential systems of order 1 &lt;r &lt; 2 with Sobolev-type

New results on approximate controllability of fractional delay integrodifferential systems of order 1 <r < 2 with Sobolev-type