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Browsing by Author "Ravikumar, K."

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    Citation - WoS: 14
    Citation - Scopus: 14
    Approximate Controllability of a Semilinear Impulsive Stochastic System With Nonlocal Conditions and Poisson Jumps
    (Springeropen, 2020) Ravikumar, K.; Baleanu, Dumitru; Anguraj, A.; 56389
    The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space. Nonlocal initial condition is a generalization of the classical initial condition and is motivated by physical phenomena. The results are obtained by using Sadovskii's fixed point theorem. Finally, an example is provided to illustrate the effectiveness of the obtained result.
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    Hyers-Ulam Stability of Fractional Stochastic Differential Equations With Random Impulse
    (Comenius Univ, 2022) Varshini, S.; Banupriya, K.; Ramkumar, K.; Ravikumar, K.; Baleanu, D.
    The goal of this study is to derive a class of random impulsive 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.