[1] | S. Bochner, Diffusion equation and stochastic processes, Proceedings of the National Academy of Sciences, vol. 35, no. 7, pp. 368370, 1949. |
|
[2] | H. Gu, J.-R. Liang, and Y.-X. Zhang, On a time-changed geometric Brownian motion and its application in financial market, Acta Physica Polonica B, vol. 43, no. 8, pp. 16671681, 2012. |
|
[3] | J. Janczura and A. Wyomanska, Anomalous diffusion models: different types of subordinator distribution, Acta Physica Polonica B, vol. 43, no. 5, pp. 10011016, 2012. |
|
[4] | C. Song, T. Koren, P. Wang, and A. Barabasi, Modelling the scaling properties of human mobility, Nature Physics, vol. 6, no. 10, pp. 818823, 2010. |
|
[5] | M.J Saxton, Anomalous Subdiffusion in Flouresence Photobleaching Recovery: A Monte Carlo Study, Biophysical Journal, 1985. |
|
[6] | S. Fedotov, and V. Mendez, Non-Markovian Model for Transport and Reaction of Particles in Spiny Dendrites, Phys. Rev. Lett., 101: 218102, 2008. |
|
[7] | D. Kleinhans and R. Friedrich, Continuous-time random walks: simulation of continuous tra- jectories, Physical Review E, vol. 76, no. 6, Article ID 061102, 2007. |
|
[8] | M.Magdziarz, Langevin picture of subdiffusion with infinitely divisiblewaiting times, Journal of Statistical Physics, vol. 135, no. 4, pp. 763772, 2009. |
|
[9] | M. Magdziarz, Stochastic representation of subdiffusion processes with time-dependent drift, Stochastic Processes and Their Applications, vol. 119, no. 10, pp. 32383252, 2009. |
|
[10] | E. Scalas, The application of continuous-time randomwalks in finance and economics, Physica A: StatisticalMechanics and its Applications, vol. 362, no. 2, pp. 225239, 2006. |
|
[11] | M. Magdziarz, A. Weron, and K. Weron, Fractional Fokker- Planck dynamics: stochastic representation and computer simulation, Physical Review EStatistical, Nonlinear, and Soft Matter Physics, vol. 75, no. 1, Article ID016708, 2007. |
|
[12] | S. Fedotov, and S. Falconer, Subdiffusive Master Equation with Space-Dependent Anomalous Exponent and Structural Instability, Phys. Rev. E, 85(3):1-6, 2012. |
|
[13] | P. Straka and S. Fedotov, Transport Equation for Subdiffusion with Nonlinear Particle Inter- action, arXiv preprint: 1404.6869, 2014. |
|
[14] | S. Falconer, A. Al-Sabbagh, and S. Fedotov, Nonlinear Tempering of Subdiffusion with Chemo- taxis, 2015. |
|
[15] | T. Hillen, and K. Painter, Global Existence foe a Parabolic Chemotaxis Model with Prevention of Overcrowding. Adv. in Appl. Math., 26(4): pp. 280-301, 2001. |
|
[16] | S. Fedotov, and S. Falconer, Random Death Process for the Regularization of Subdiffusive fractional Equation, Phys. Rev. E, 87:052139, 2013. |
|
[17] | S. Fedotov, and S. Falconer, Nonlinear Degradation-enhanced Transport of Morphogens Per- forming Subdiffusion, Phys. Rev. E, 89:012107, 2014. |
|