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Title: | CONTROLLABILITY OF STOCHASTIC FRACTIONAL SYSTEMS INVOLVING STATE-DEPENDENT DELAY AND IMPULSIVE EFFECTS |
Authors: | Arthi, G Vaanmathi, M Yong-Ki, Ma |
Keywords: | Controllability Fractional system Impulsive stochastic system State-dependent delay |
Issue Date: | 30-Jan-2024 |
Publisher: | Springer Open |
Abstract: | 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. |
URI: | https://doi.org/10.1186/s13662-024-03799-3 |
Appears in Collections: | 2.Article (79) |
Files in This Item:
File | Description | Size | Format | |
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CONTROLLABILITY OF STOCHASTIC FRACTIONAL SYSTEMS INVOLVING STATE-DEPENDENT DELAY AND IMPULSIVE EFFECTS.pdf | 1.56 MB | Adobe PDF | View/Open |
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