Hitting properties of generalized fractional kinetic equation with time-fractional noise
Author:
Funder
National key R &D Program of China
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Modeling and Simulation,Statistics and Probability
Link
https://link.springer.com/content/pdf/10.1007/s40072-023-00321-w.pdf
Reference27 articles.
1. Angulo, J.M., Anh, V.V., McVinish, R., Ruiz-Medina, M.D.: Fractional kinetic equations driven by Gaussian or infinitely divisible noise. Adv. Appl. Probab. 37(2), 366–392 (2005). https://doi.org/10.1239/aap/1118858630
2. Angulo, J.M., Ruiz-Medina, M.D., Anh, V.V., Grecksch, W.: Fractional diffusion and fractional heat equation. Adv. Appl. Probab. 32(4), 1077–1099 (2000). https://doi.org/10.1239/aap/1013540349
3. Anh, V.V., Leonenko, N.N.: Spectral analysis of fractional kinetic equations with random data. J. Stat. Phys. 104(5–6), 1349–1387 (2001). https://doi.org/10.1023/A:1010474332598
4. Balan, R.M., Tudor, C.A.: The stochastic wave equation with fractional noise: a random field approach. Stoch. Process. Appl. 120(12), 2468–2494 (2010). https://doi.org/10.1016/j.spa.2010.08.006
5. Clarke de la Cerda, J., Tudor, C.A.: Hitting times for the stochastic wave equation with fractional colored noise. Rev. Mat. Iberoam. 30(2), 685–709 (2014). https://doi.org/10.4171/RMI/796
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