Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators

被引：20

作者：

Bose, Chandrabose Sindhu Varun ^{[1
]}

Udhayakumar, Ramalingam ^{[1
]}

Elshenhab, Ahmed M. ^{[2
,3
]}

Kumar, Marappan Sathish ^{[4
]}

Ro, Jong-Suk ^{[5
,6
]}

机构：

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

[2] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China

[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[4] Paavai Engn Coll Autonomous, Dept Math, Namakkal 637018, Tamil Nadu, India

[5] Chung Ang Univ, Sch Elect & Elect Engn, Seoul 06974, South Korea

[6] Chung Ang Univ, Dept Intelligent Energy & Ind, Seoul 06974, South Korea

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

Hilfer fractional system; multivalued maps; sectorial operators; approximate controllability; DIFFERENTIAL-INCLUSIONS; EXISTENCE; EQUATION;

D O I：

10.3390/fractalfract6100607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators. Almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem and multivalued maps are used to prove the result. We start by emphasizing the existence of a mild solution and demonstrate the approximate controllability of the fractional system. In addition, an example is presented to demonstrate the principle.

引用

页数：22

共 36 条

[1] On the concept of solution for fractional differential equations with uncertainty [J].

Agarwal, Ravi P. ;

Lakshmikantham, V. ;

Nieto, Juan J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) :2859-2862

[2]

Ahmad B., 2017, Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

[3] CAPUTO FRACTIONAL DIFFERENTIAL INCLUSIONS OF ARBITRARY ORDER WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS [J].

Ahmad, Bashir ;

Garout, Doa'a ;

Ntouyas, Sotiris K. ;

Alsaedi, Ahmed .

MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) :683-699

[4] Null controllability of fractional stochastic delay integro-differential equations [J].

Ahmed, Hamdy M. ;

El-Borai, Mahmoud M. ;

El-Owaidy, H. M. ;

Ghanem, A. S. .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (03) :143-150

[5] Controllability of integrodifferential systems in Banach spaces [J].

Balachandran, K ;

Sakthivel, R .

APPLIED MATHEMATICS AND COMPUTATION, 2001, 118 (01) :63-71

[6] Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators [J].

Bedi, Pallavi ;

Kumar, Anoop ;

Abdeljawad, Thabet ;

Khan, Zareen A. ;

Khan, Aziz .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[7] A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators [J].

Bose, C. S. Varun ;

Udhayakumar, R. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (05) :2530-2541

[8] A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels [J].

Cao, Y. ;

Nikan, O. ;

Avazzadeh, Z. .

APPLIED NUMERICAL MATHEMATICS, 2023, 183 :140-156

[9] Controllability of mixed Volterra-Fredholm-type integro-differential inclusions in Banach spaces [J].

Chang, Y. -K. ;

Chalishajar, D. N. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (05) :499-507

[10] Results on approximate controllability of neutral integro-differential stochastic system with state-dependent delay [J].

Dineshkumar, C. ;

Udhayakumar, R. ;

Vijayakumar, V. ;

Nisar, Kottakkaran Sooppy .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2024, 40 (01)

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