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

被引：69

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

[1] New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro-differential systems
Dineshkumar, C.
Udhayakumar, R.
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (02) : 1072 - 1090
[2] Discussion on the Approximate Controllability of Hilfer Fractional Neutral Integro-Differential Inclusions via Almost Sectorial Operators
Bose, Chandrabose Sindhu Varun
Udhayakumar, Ramalingam
Elshenhab, Ahmed M.
Kumar, Marappan Sathish
Ro, Jong-Suk
[J]. FRACTAL AND FRACTIONAL, 2022, 6 (10)
[3] An analysis on the optimal control and approximate controllability for Hilfer fractional neutral integro-differential systems with finite delay
Ma, Yong-Ki
Kavitha, K.
Shukla, Anurag
Vijayakumar, V.
Nisar, Kottakkaran Sooppy
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2024, 45 (03): : 1086 - 1107
[4] On approximate controllability of fractional stochastic neutral integro-differential inclusions with infinite delay
Yan, Zuomao
Lu, Fangxia
[J]. APPLICABLE ANALYSIS, 2015, 94 (06) : 1235 - 1258
[5] APPROXIMATE CONTROLLABILITY OF NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL SYSTEMS WITH IMPULSIVE EFFECTS
Li, Meili
Li, Xiang
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[6] Approximate Controllability of a Neutral Stochastic Fractional Integro-Differential Inclusion with Nonlocal Conditions
Chadha, Alka
Pandey, Dwijendra N.
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2018, 31 (02) : 705 - 740
[7] Approximate Controllability of a Neutral Stochastic Fractional Integro-Differential Inclusion with Nonlocal Conditions
Alka Chadha
Dwijendra N. Pandey
[J]. Journal of Theoretical Probability, 2018, 31 : 705 - 740
[8] APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS
Lv, Jingyun
Yang, Xiaoyuan
[J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (04): : 691 - 713
[9] Controllability of Fractional Neutral Stochastic Integro-Differential Systems with Infinite Delay
Sun, Xichao
Yan, Litan
Cui, Jing
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[10] Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay
Toufik Guendouzi
Lamia Bousmaha
[J]. Qualitative Theory of Dynamical Systems, 2014, 13 : 89 - 119

← 1 2 3 4 5 →