Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems

被引：0

作者：

Guendouzi, Toufik ^{[1
]}

Farahi, Souad ^{[1
]}

机构：

[1] Tahar Moulay Univ, Lab Stochast Models Stat & Applicat, POB 138, Saida 20000, Algeria

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2015年 / 21卷 / 02期

关键词：

Approximate controllability; Fractional derivatives; Stochastic functional differential equations; Fixed point theorem; Characteristic solution operators;

D O I：

10.1007/s40590-015-0056-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the approximate controllability of Sobolev-type fractional functional stochastic differential systems in Hilbert spaces. Using Schauder fixed point theorem, stochastic analysis theory and characteristic solutions operators, we derive a new set of sufficient conditions for the approximate controllability of fractional functional Sobolev-type stochastic integro-differential system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.

引用

页码：289 / 308

页数：20

共 50 条

[31] On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system
Kavitha, K.
Vijayakumar, V.
Nisar, Kottakkaran Sooppy
ALEXANDRIA ENGINEERING JOURNAL, 2023, 69 : 57 - 65
[32] Controllability of Fractional Neutral Stochastic Integro-Differential Systems with Infinite Delay
Sun, Xichao
Yan, Litan
Cui, Jing
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[33] 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
[34] New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro-differential systems
Dineshkumar, C.
Udhayakumar, R.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (02) : 1072 - 1090
[35] Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type
Kavitha, K.
Vijayakumar, V.
Shukla, Anurag
Nisar, Kottakkaran Sooppy
Udhayakumar, R.
CHAOS SOLITONS & FRACTALS, 2021, 151
[36] 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
[37] 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
[38] 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
[39] Existence Solution and Controllability of Sobolev Type Delay Nonlinear Fractional Integro-Differential System
Ahmed, Hamdy M.
El-Borai, Mahmoud M.
El-Owaidy, Hassan M.
Ghanem, Ahmed S.
MATHEMATICS, 2019, 7 (01)
[40] Approximate Controllability of Finite Delay Fractional Functional Integro-Differential Equations with Nonlocal Condition
Kamal Jeet
D. Bahuguna
R. K. Shukla
Differential Equations and Dynamical Systems, 2019, 27 : 423 - 437

← 1 2 3 4 5 →