Browsing by Author "Annamalai, Anguraj"

Now showing 1 - 3 of 3

Citation - WoS: 14
Citation - Scopus: 13
Hilfer Fractional Neutral Stochastic Differential Equations With Non-Instantaneous Impulses
(Amer inst Mathematical Sciences-aims, 2021) Kasinathan, Ravikumar; Baleanu, Dumitru; Annamalai, Anguraj; Kasinathan, Ramkumar
The aim of this manuscript is to investigate the existence of mild solution of Hilfer fractional neutral stochastic differential equations (HFNSDEs) with non-instantaneous impluses. We establish a new criteria to guarantee the sufficient conditions for a class of HFNSDEs with non-instantaneous impluses of order 0 < beta < 1 and type 0 <= alpha <= 1 is derived with the help of semigroup theory and fixed point approach, namely Monch fixed point theorem. Finally, a numerical example is provided to validate the theoretical results.
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.
Citation - WoS: 2
Citation - Scopus: 3
Well Posedness of Second-Order Impulsive Fractional Neutral Stochastic Differential Equations
(Amer inst Mathematical Sciences-aims, 2021) Kasinathan, Ravikumar; Baleanu, Dumitru; Annamalai, Anguraj; Kasinathan, Ramkumar
In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space. Firstly, sufficient conditions of the existence and the uniqueness of the mild solution for this type of equations are driven by means of the successive approximation and the Bihari's inequality. Next we get the stability in mean square of the mild solution via continuous dependence on initial value.