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Browsing by Author "Kandasamy, Banupriya"

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    Hyers-Ulam Stability of Fractional Stochastic Differential Equations With Random Impulse
    (Korean Mathematical Soc, 2023) Baleanu, Dumitru; Kandasamy, Banupriya; Kasinathan, Ramkumar; Kasinathan, Ravikumar; Sandrasekaran, Varshini
    The goal of this study is to derive a class of random impulsive non-local fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild solution of the aforementioned system are acquired by Kransnoselskii's fixed point theorem. Furthermore through Ito isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system is evaluated using Lipschitz condition.
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    Citation - WoS: 8
    Citation - Scopus: 12
    On Neutral Impulsive Stochastic Differential Equations With Poisson Jumps
    (Pushpa Publishing House, 2018) Kandasamy, Banupriya; Baleanu, Dumitru; Arumugam, Vinodkumar; Annamalai, Anguraj
    We study the results of existence and continuous dependence on neutral impulsive stochastic differential equations with Poisson jumps. We have also created some conditions confirming exponential stability.