CONTROLLABILITY ANALYSIS OF IMPULSIVE MULTI-TERM FRACTIONAL-ORDER STOCHASTIC SYSTEMS INVOLVING STATE-DEPENDENT DELAY

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dc.contributor.authorArthi, G
dc.contributor.authorVaanmathi, M
dc.contributor.authorYong-Ki, Ma
dc.date.accessioned2023-11-30T08:01:44Z
dc.date.available2023-11-30T08:01:44Z
dc.date.issued2023-09-30
dc.description.abstractThis study deals with the controllability of multi-term fractional-order stochastic systems with impulsive effects and state-dependent delay that exhibit damping behavior. Based on fractional calculus theory, the Caputo fractional derivative is utilized to analyze the controllability of fractional-order systems. Mittag–Leffler functions and Laplace transform are used to derive the solution set of the problem. Sufficient conditions for the controllability of nonlinear systems are achieved using fixed-point techniques and stochastic theory. Finally, the results stated in the paper are validated using examples.en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract7100727
dc.language.isoen_USen_US
dc.publisherMDPIen_US
dc.subjectcontrollabilityen_US
dc.subjectfractional systemen_US
dc.subjectstochastic impulsive systemen_US
dc.subjectstate-dependent delayen_US
dc.titleCONTROLLABILITY ANALYSIS OF IMPULSIVE MULTI-TERM FRACTIONAL-ORDER STOCHASTIC SYSTEMS INVOLVING STATE-DEPENDENT DELAYen_US
dc.typeArticleen_US

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