Controllability of stochastic fractional systems involving state-dependent delay and impulsive effects

In this paper, the controllability concept of a nonlinear fractional stochastic system involving state-dependent delay and impulsive effects is addressed by employing Caputo derivatives and Mittag-Leffler (ML) functions. Based on stochastic analysis theory, novel sufficient conditions are derived fo...

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Bibliographic Details
Published inAdvances in continuous and discrete models Vol. 2024; no. 1; p. 4
Main Authors Arthi, G., Vaanmathi, M., Ma, Yong-Ki
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 30.01.2024
Springer Nature B.V
Subjects
Analysis
Applied mathematics
Brownian motion
Calculus
Controllability
Difference and Functional Equations
Fixed points (mathematics)
Functional Analysis
Hilbert space
Investigations
Mathematics
Mathematics and Statistics
Nonlinear systems
Ordinary Differential Equations
Partial Differential Equations
Stochastic systems
Impulsive stochastic system
34K50
State-dependent delay
Fractional system
93B05
Controllability
34A08
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Summary:In this paper, the controllability concept of a nonlinear fractional stochastic system involving state-dependent delay and impulsive effects is addressed by employing Caputo derivatives and Mittag-Leffler (ML) functions. Based on stochastic analysis theory, novel sufficient conditions are derived for the considered nonlinear system by utilizing Krasnoselkii’s fixed point theorem. Correspondingly, the applicability of the derived theoretical results is indicated by an example.
ISSN:2731-4235
1687-1839
2731-4235
1687-1847
DOI:10.1186/s13662-024-03799-3