An interpretation on controllability of Hilfer fractional derivative with nondense domain

被引：39

作者：

Ravichandran, C. ^{[1
]}

Jothimani, K. ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[3
]}

Mahmoud, Emad E. ^{[4
]}

Yahia, Ibrahim S. ^{[5
,6
,7
]}

机构：

[1] Kongunadu Arts & Sci Coll, Dept Math, Coimbatore 641029, Tamil Nadu, India

[2] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, Tamil Nadu, India

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

[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

[5] King Khalid Univ, Fac Sci, Dept Phys, Lab Nanosmart Mat Sci & Technol LNSMST, POB 9004, Abha 61413, Saudi Arabia

[6] King Khalid Univ, Res Ctr Adv Mat Sci Roams, POB 9004, Abha 61413, Saudi Arabia

[7] Ain Shams Univ, Fac Educ, Dept Phys, Nanosci Lab Environm & Biomed Applicat NLEBA, Cairo 11757, Egypt

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2022年 / 61卷 / 12期

关键词：

Banach space; Hilfer fractional derivative; Nondense domain; Controllability; Fixed point; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY; EXISTENCE; INCLUSIONS; UNIQUENESS; SYSTEMS;

D O I：

10.1016/j.aej.2022.03.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach. (C) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University

引用

页码：9941 / 9948

页数：8

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