A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

被引：74

作者：

Dineshkumar, C. ^{[1
]}

Udhayakumar, R. ^{[1
]}

Vijayakumar, V. ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

机构：

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

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

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 142卷

关键词：

Hilfer fractional evolution equations; Approximate controllability; Neutral systems; Nonlocal conditions; Stochastic integro-differential equations; DIFFERENTIAL-INCLUSIONS; EQUATIONS; EVOLUTION; EXISTENCE; DELAY;

D O I：

10.1016/j.chaos.2020.110472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations. The principal results of this article are proved based on the theoretical concepts related to the fractional calculus and Schauder's fixed-point theorem. Initially, we discuss the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Finally, we provide theoretical and practical applications to assist in the effectiveness of the discussion. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：12

共 50 条

[41] Controllability of neutral stochastic integro-differential evolution equations driven by a fractional Brownian motion
Lakhel E.
McKibben M.A.
Afrika Matematika, 2017, 28 (1-2) : 207 - 220
[42] A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic integro-differential system with infinite delay
Dineshkumar, Chendrayan
Joo, Young Hoon
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 9922 - 9941
[43] Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion
Lakhel, El Hassan
STOCHASTIC ANALYSIS AND APPLICATIONS, 2016, 34 (03) : 427 - 440
[44] Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
Balasubramaniam, P.
Tamilalagan, P.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 : 232 - 246
[45] Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems
Vijayakumar, Velusamy
Aldosary, Saud Fahad
Nisar, Kottakkaran Sooppy
FRACTAL AND FRACTIONAL, 2022, 6 (02)
[46] Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces
Yan, Zuomao
Zhang, Hongwu
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (01):
[47] Approximate Controllability of ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay
Bose, Chandrabose Sindhu Varun
Udhayakumar, Ramalingam
Velmurugan, Subramanian
Saradha, Madhrubootham
Almarri, Barakah
FRACTAL AND FRACTIONAL, 2023, 7 (07)
[48] APPROXIMATE CONTROLLABILITY OF NEUTRAL FRACTIONAL STOCHASTIC DIFFERENTIAL SYSTEMS WITH CONTROL ON THE BOUNDARY
Ahmed, Hamdy M.
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2025, 15 (02): : 300 - 314
[49] Approximate controllability of semi-linear neutral integro-differential systems with finite delay
Mokkedem, Fatima Zahra
Fu, Xianlong
APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 202 - 215
[50] CONTROLLABILITY OF RETARDED TIME-DEPENDENT NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL SYSTEMS DRIVEN BY FRACTIONAL BROWNIAN MOTION
Benkabdi, Youssef
Lakhel, El Hassan
EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, : 318 - 335

← 1 2 3 4 5 →