CONTROLLABILITY OF IMPULSIVE DAMPED FRACTIONAL ORDER SYSTEMS INVOLVING STATE DEPENDENT DELAY (Article)

dc.contributor.authorArthi, G
dc.contributor.authorVaanmathi, M
dc.date.accessioned2024-12-06T10:05:28Z
dc.date.available2024-12-06T10:05:28Z
dc.date.issued2024
dc.description.abstractIn this article, the concept of controllability on fractional order impulsive systems involving state dependent delay and damping behavior is analysed by utilizing Caputo fractional derivative. The main motivation is to derive the sufficient conditions for the controllability of the considered systems. Based on the Laplace transform and inverse Laplace transform, the solution of fractional-order dynamical systems are obtained. The results are established by utilizing basic ideas of fractional calculus, Mittag-Leffler function and Banach fixed point theorem. Finally, an application is provided to illustrate the derived result.en_US
dc.identifier.issn27051064
dc.identifier.urihttps://ojs.wiserpub.com/index.php/CM/article/view/2718
dc.language.isoen_USen_US
dc.publisherUniversal Wiser Publisheren_US
dc.subjectfractional damped systemen_US
dc.subjectimpulsive systemen_US
dc.subjectstate dependent delayen_US
dc.subjectfixed point theoremen_US
dc.subjectcontrollabilityen_US
dc.titleCONTROLLABILITY OF IMPULSIVE DAMPED FRACTIONAL ORDER SYSTEMS INVOLVING STATE DEPENDENT DELAY (Article)en_US
dc.typeArticleen_US

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