참고문헌
- R.P. Agarwal, Y. Zhou and Y. He, Existence of fractional neutral functional differential equations, Compu. Math. Appl., 59 (2010), 1095-1100. https://doi.org/10.1016/j.camwa.2009.05.010
- B. Boufoussi and S. Hajji, Successive approximation of neutral functional stochastic differential equations with jumps, Statistics Prob. Lett., 80 (2010), 324-332. https://doi.org/10.1016/j.spl.2009.11.006
- A. Chadha and S.N. Bora, Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps, J. Math. Physics, 58 (2017), 112703.
- Y. Chen, W.X. Zheng and A. Xue, A new result on stability analysis for stochastic neutral systems, Automatica, 46 (2010), 2100-2104. https://doi.org/10.1016/j.automatica.2010.08.007
- S. Cong, On exponential stability conditions of linear neutral stochastic differential systems with time-varying delay, Inter.J. Robust and Nonlinear Control, 23 (2013), 1265-1276. https://doi.org/10.1002/rnc.2818
- J. Cui and L. Yan, Existence result for fractional neutral stochastic integro-differential equations with infinite delay, J. Physics A: Mathematical and Theoretical, 44 (2011), 335201.
- V. Govindaraj, S. Priyadarshini, P. Sureshkumar and K. Balachandran, Asymptotic stability of fractional Langevin systems, J. Appl. Nonlinear Dyna., 11 (2022), 635-650. https://doi.org/10.5890/JAND.2022.09.008
- L. Huang and X. Mao, Delay-dependent exponential stability of neutral stochastic delay systems, IEEE Trans. Autom. Control, 54 (2009), 147-152. https://doi.org/10.1109/TAC.2008.2007178
- R. Joice Nirmala, K. Balachandran and J.J. Trujillo, Null controllability of fractional dynamical systems with constrained control, Fractional Calcu. Appl. Anal., 20 (2017), 153-167.
- C. Kausika, K. Balachandran, N. Annapoorani and J.K. Kim, Existence and stability results of generalized fractional integrodifferential equations, Nonlinear Funct. Anal. Appl., 26 (2021), 793-809.
- Y. Li and B. Liu, Existence of solution of nonlinear neutral stochastic differential inclusions with infinite delay, Stochastic Anal. Appl., 25 (2007), 397-415. https://doi.org/10.1080/07362990601139610
- R. Mabel Lizzy, K. Balachandran and J.J. Trujillo, Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delay in control, Chaos, Solitons & Fractals, 102 (2017), 162-167. https://doi.org/10.1016/j.chaos.2017.04.024
- X. Mao, Stochastic Differential Equation and Applications, Second Edition, Woodhead Publishing Limited, Cambridge, 2010.
- X. Mao, Y. Shen and C. Yuan, Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching, Stochastic Proc. Their Appl., 118 (2008), 1385-1406. https://doi.org/10.1016/j.spa.2007.09.005
- J.Y. Park, K. Balachandran and N. Annapoorani, Existence results for impulsive neutral functional integrodifferential equations with infinite delay, Nonlinear Anal., 71 (2009), 3152-3162. https://doi.org/10.1016/j.na.2009.01.192
- D. Qian, C. Li, R.P. Agarwal and P.J.Y. Wong, Stability analysis of fractional differential system with Riemann-Liouville derivative, Math. Comput Model., 52 (2010), 862-874. https://doi.org/10.1016/j.mcm.2010.05.016
- A.G. Radwan, A.M. Soliman, A.S. Elwakil and A. Sedeek, On the stability of linear systems with fractional order elements, Chaos, Solitons Fractals, 40 (2009), 2317-2328. https://doi.org/10.1016/j.chaos.2007.10.033
- P. Ramesh, M. Sambath, M.H. Mohd and K. Balachandran, Stability analysis of the fractional order pre-predator model with infection, Inter. J. Model. Simul., 41 (2021) 434-450.
- A. Rathinasamy, K. Balachandran and J.K. Kim, Existence and stability of solutions of neutral hybrid stochastic infinite delay differential equations with Poisson jumps, Nonlinear Funct. Anal. Appl., 16 (2011), 123-139.
- Y. Ren and L. Chen, A note on the neutral stochastic functional differential equation with infinite delay and Poisson jumps in an abstract space, J. Math. Physics, 50 (2009), 082704.
- S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach Science Publishers, Amsterdam, 1993.
- P. Umamaheswari, K. Balachandran and N. Annapoorani, Existence and stability results for Caputo fractional stochastic differential equations with L'evy noise, Filomat, 34 (2020), 1739-1751. https://doi.org/10.2298/FIL2005739U