An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces

被引：26

作者：

Ma, Yong-Ki ^{[1
]}

Kavitha, K. ^{[2
]}

Albalawi, Wedad ^{[3
]}

Shukla, Anurag ^{[4
]}

Nisar, Kottakkaran Sooppy ^{[5
]}

Vijayakumar, V. ^{[2
]}

机构：

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

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632 014, Tamil Nadu, India

[3] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

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

[5] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

Approximate controllability; Hilfer fractional derivative; Neutral systems; Nonlocal conditions; INCLUSIONS; EQUATIONS; EVOLUTION; EXISTENCE;

D O I：

10.1016/j.aej.2021.12.067

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This manuscript concerns the approximate controllability results in Hilbert space of Hilfer fractional differential inclusions. We show that the Hilfer fractional neutral differential inclusions are approximately controllable using Bohnenblust-Karlin's fixed point theorem. Further, nonlocal conditions are extended to the existence results. Furthermore, an application is shown to demonstrate the theoretical conclusions utility.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).

引用

页码：7291 / 7302

页数：12

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