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

[31] Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay
Zuomao Yan
Xiumei Jia
Collectanea Mathematica, 2015, 66 : 93 - 124
[32] Approximate controllability of partial fractional neutral stochastic functional integro-differential inclusions with state-dependent delay
Yan, Zuomao
Jia, Xiumei
COLLECTANEA MATHEMATICA, 2015, 66 (01) : 93 - 124
[33] SOBOLEV TYPE NEUTRAL INTEGRO-DIFFERENTIAL SYSTEMS INVOLVING (k, ψ) – HILFER FRACTIONAL DERIVATIVE AND NONLOCAL CONDITIONS: TRAJECTORY CONTROLLABILITY
Kerboua Mourad
Bouacida Ichrak
Journal of Mathematical Sciences, 2025, 289 (2) : 343 - 358
[34] A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators
Kaliraj, Kalimuthu
Muthuvel, Kothandapani
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (02): : 193 - 204
[35] Approximate controllability of neutral stochastic integro-differential equations with state-dependent delay
Li, Meili
Huang, Mingcui
Liu, Man
JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, 2016, 4 (02) : 119 - 128
[36] CONTROLLABILITY OF HILFER TYPE FRACTIONAL EVOLUTION NEUTRAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH NON-INSTANTANEOUS IMPULSES
Sanjay, K.
Balasubramaniam, P.
EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, : 600 - 625
[37] Discussion on the controllability results for fractional neutral impulsive Atangana-Baleanu delay integro-differential systems
Williams, W. Kavitha
Vijayakumar, V.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021,
[38] Approximate controllability of a semilinear impulsive fractional stochastic integro-differential inclusions with Poisson jumps
Nandhaprasadh, K.
Udhayakumar, R.
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2025, 38 (02): : 263 - 280
[39] Attractive solutions for Hilfer fractional neutral stochastic integro-differential equations with almost sectorial operators
Sivasankar, Sivajiganesan
Udhayakumar, Ramalingam
Elamin, Abd Elmotaleb A. M. A.
Samidurai, R.
Etemad, Sina
Awadalla, Muath
AIMS MATHEMATICS, 2024, 9 (05): : 11486 - 11510
[40] Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators
Sivasankar, Sivajiganesan
Udhayakumar, Ramalingam
MATHEMATICS, 2022, 10 (12)

← 1 2 3 4 5 →