Existence and controllability of fractional-order impulsive stochastic system with infinite delay

• Autorzy: Toufik Guendouzi
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.

Słowa kluczowe

EN

existence result; approximate controllability; fractional stochastic differential equations; resolvent operators; infinite delay

Kategorie tematyczne

• 60H40: White noise theory
• 34A37: Differential equations with impulses
• 34G20: Nonlinear equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2013
• Tom: 33
• Numer: 1
• Strony: 65-87

Daty

wydano

2013

otrzymano

2013-02-25

Twórcy

autor

Toufik Guendouzi

• Laboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University, PO. Box 138 En-Nasr, 20000 Saida, Algeria

Bibliografia

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Identyfikatory

DOI

10.7151/dmdico1144