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

被引：9
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
收藏
页码：501 / 518
页数：18
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