- [1] A. Anguraj, A. Vinodkumar, and K. Malar, Existence and stability results for random impulsive fractional pan- tograph equations, Filomat, 30(14) (2016), 3839–3854.
- [2] A. Anguraj, K. Ravikumar, and J. J. Nieto, On stability of stochastic differential equations with random impulses driven by Poisson jumps, Stochastics An International Journal of Probability and Stochastic Processes, (2020), 1–15.
- [3] S. Dragomir, Some Gronwall type inequalities and applications, RGMIA Monographs, Nova Biomedical, Mel- bourne, (2002).
- [4] G. L. Forti, Hyers-Ulam stability of functional equations in several variables, Aequationes Mathematicae, 50(1-2) (1995), 143–190.
- [5] M. Gowrisankar, P. Mohankumar, and A. Vinodkumar, Stability results of random impulsive semilinear differential equations, Acta Math. Sci, 34(4) (2014), 1055–1071.
- [6] N. Lungu and D. Popa, Hyers-Ulam stability of a first order partial differential equations, Journal of Mathematical Analysis and Applications, 385 (2012), 86–91.
- [7] K. Malar, Existence and uniqueness results for random impulsive integro-differential equation, Global Journal of Pure and Applied Mathematics. 6 (2018), 809-817.
- [8] X. Mao, Stochastic differential equations and applications, M. Horwood, Chichester, (1997).
- [9] N. Ngoc, Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type, Differ. Equ. Appl, 9(2) (2017), 183–193.
- [10] T. M. Rassias, On the stability of fractional equations and a problem of Ulam, Acta Appl. Math, 62(1) (2000), 23–130.
- [11] J. M. Sanz-Serna and A. M. Stuart, Ergodicity of dissipative differential equations subject to random impulses, Journal of differential equations, 155(2) (1999), 262–284.
- [12] R. Shah and A. Zada, A fixed point approach to the stability of a nonlinear volterra integrodifferential equation with delay, Hacet. J. Math. Stat, 47(3) (2018), 615–623.
- [13] A. Vinodkumar, M. Gowrisankar, and P. Mohankumar, Existence, uniqueness and stability of random impulsive neutral partial differential equations, J. Egyptian Math. Soc, 23(1) (2015), 31–36.
- [14] A. Vinodkumar, K. Malar, M. Gowrisankar, and P. Mohankumar, Existence, uniqueness and stability of random impulsive fractional differential equations, Acta Math. Sci, 36B(2) (2016), 428–442.
- [15] T. Wang and S. Wu, Random impulsive model for stock prices and its application for insurers, Master thesis (in Chinese), Shanghai, East China Normal University, (2008).
- [16] S. Wu and X. Meng, Boundedness of nonlinear differential systems with impulsive effect on random moments, Acta Math. Appl. Sin, 20(1) (2004), 147–154.
- [17] S. Wu and B. Zhou, Existence and uniqueness of stochastic differential equations with random impulses and markovian switching under Non-Lipschitz conditions, J. Acta Math. Sin, 27(3) (2011), 519–536.
- [18] X. Zhao, Mean square Hyers-Ulam stability of stochastic differential equations driven by Brownian motion, Adv. Difference. Equ, 2016(1) (2016), 1–12.
- [19] Y. Zhou and S. Wu, Existence and uniqueness of solutions to stochastic differential equations with random impulses under Lipschitz conditions, Chinese J. Appl. Proba. Statist, 26(4) (2010), 347–356.
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