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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 769257, 9 pages
Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays
1Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
2Department of Mathematics, Anna University of Technology, Coimbatore 641 047, India
3Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey
Received 11 September 2012; Accepted 8 November 2012
Academic Editor: Elena Braverman
Copyright © 2013 R. Sakthivel et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [9 citations]
The following is the list of published articles that have cited the current article.
- Huabin Chen, “Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump,” Journal of Mathematical Physics, vol. 54, no. 8, pp. 082701, 2013.
- Kexue Li, “Stochastic delay fractional evolution equations driven by fractional Brownian motion,” Mathematical Methods in the Applied Sciences, 2014.
- P. Balasubramaniam, N. Kumaresan, K. Ratnavelu, and P. Tamilalagan, “Local and Global Existence of Mild Solution for Impulsive Fractional Stochastic Differential Equations,” Bulletin of the Malaysian Mathematical Sciences Society, 2014.
- Yiheng Wei, Hamid Reza Karimi, Jinwen Pan, Qing Gao, and Yong Wang, “Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014.
- Tianxiang Yao, and Xianghong Lai, “Mean-Square Exponential Stability Analysis of Stochastic Neural Networks with Time-Varying Delays via Fixed Point Method,” Journal of Applied Mathematics, vol. 2014, pp. 1–9, 2014.
- Hai Zhang, Daiyong Wu, and Jinde Cao, “Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014.
- Yiheng Wei, Hamid Reza Karimi, Shu Liang, Qing Gao, and Yong Wang, “General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014.
- Pengyu Chen, Yongxiang Li, and Xuping Zhang, “On the initial value problem of fractional stochastic evolution equations in Hilbert spaces,” Communications on Pure and Applied Analysis, vol. 14, no. 5, pp. 1817–1840, 2015.
- Pengyu Chen, and Yongxiang Li, “Nonlocal Cauchy problem for fractional stochastic evolution equations in Hilbert spaces,” Collectanea Mathematica, vol. 66, no. 1, pp. 63–76, 2015.