Anh, Vo V.; Leonenko, Nikolai N.; Ruiz-Medina, María D. Space-time fractional stochastic equations on regular bounded open domains. (English) Zbl 1354.60065 Fract. Calc. Appl. Anal. 19, No. 5, 1161-1199 (2016). MSC: 60H15 60G22 60G60 60G15 60G20 60G17 60G12 26A33 PDFBibTeX XMLCite \textit{V. V. Anh} et al., Fract. Calc. Appl. Anal. 19, No. 5, 1161--1199 (2016; Zbl 1354.60065) Full Text: DOI arXiv Link
Ye, H.; Liu, Fawang; Anh, V. Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains. (English) Zbl 1349.65353 J. Comput. Phys. 298, 652-660 (2015). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{H. Ye} et al., J. Comput. Phys. 298, 652--660 (2015; Zbl 1349.65353) Full Text: DOI Link
Chen, J.; Liu, Fawang; Anh, V.; Shen, S.; Liu, Q.; Liao, C. The analytical solution and numerical solution of the fractional diffusion-wave equation with damping. (English) Zbl 1290.35306 Appl. Math. Comput. 219, No. 4, 1737-1748 (2012). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Math. Comput. 219, No. 4, 1737--1748 (2012; Zbl 1290.35306) Full Text: DOI Link
Ilic, M.; Turner, I. W.; Liu, Fawang; Anh, V. Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. (English) Zbl 1193.65168 Appl. Math. Comput. 216, No. 8, 2248-2262 (2010). MSC: 65M55 35K20 65M70 35R11 PDFBibTeX XMLCite \textit{M. Ilic} et al., Appl. Math. Comput. 216, No. 8, 2248--2262 (2010; Zbl 1193.65168) Full Text: DOI
Chen, Chang-Ming; Liu, Fawang; Turner, Ian; Anh, Vo Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation. (English) Zbl 1191.65116 Numer. Algorithms 54, No. 1, 1-21 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 65M06 35K05 PDFBibTeX XMLCite \textit{C.-M. Chen} et al., Numer. Algorithms 54, No. 1, 1--21 (2010; Zbl 1191.65116) Full Text: DOI Link
Shen, S.; Liu, Fawang; Anh, V. Fundamental solution and discrete random walk model for a time-space fractional diffusion equation of distributed order. (English) Zbl 1157.65520 J. Appl. Math. Comput. 28, No. 1-2, 147-164 (2008). MSC: 65R20 45K05 26A33 65M06 65G50 46F10 60H25 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 28, No. 1--2, 147--164 (2008; Zbl 1157.65520) Full Text: DOI Link
Chen, Chang-Ming; Liu, Fawang; Turner, I.; Anh, V. A Fourier method for the fractional diffusion equation describing sub-diffusion. (English) Zbl 1165.65053 J. Comput. Phys. 227, No. 2, 886-897 (2007). Reviewer: Pat Lumb (Chester) MSC: 65M12 65M70 35B35 PDFBibTeX XMLCite \textit{C.-M. Chen} et al., J. Comput. Phys. 227, No. 2, 886--897 (2007; Zbl 1165.65053) Full Text: DOI Link
Zhang, H.; Liu, Fawang; Anh, V. Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. (English) Zbl 1125.26014 J. Comput. Appl. Math. 206, No. 2, 1098-1115 (2007). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 34K28 60G57 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Comput. Appl. Math. 206, No. 2, 1098--1115 (2007; Zbl 1125.26014) Full Text: DOI
Shen, S.; Liu, Fawang; Anh, V.; Turner, I. Detailed analysis of a conservative difference approximation for the time fractional diffusion equation. (English) Zbl 1111.65115 J. Appl. Math. Comput. 22, No. 3, 1-19 (2006). Reviewer: Neville Ford (Chester) MSC: 65R20 45J05 26A33 PDFBibTeX XMLCite \textit{S. Shen} et al., J. Appl. Math. Comput. 22, No. 3, 1--19 (2006; Zbl 1111.65115) Full Text: DOI
Liu, Fawang; Anh, V.; Turner, I. Numerical solution of the space fractional Fokker-Planck equation. (English) Zbl 1036.82019 J. Comput. Appl. Math. 166, No. 1, 209-219 (2004). MSC: 82C31 26A33 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Comput. Appl. Math. 166, No. 1, 209--219 (2004; Zbl 1036.82019) Full Text: DOI
Liu, Fawang; Anh, V. V.; Turner, I.; Zhuang, P. Time fractional advection-dispersion equation. (English) Zbl 1068.26006 J. Appl. Math. Comput. 13, No. 1-2, 233-245 (2003). Reviewer: Rudolf Gorenflo (Berlin) MSC: 26A33 33D15 44A10 44A15 45K05 35K57 PDFBibTeX XMLCite \textit{F. Liu} et al., J. Appl. Math. Comput. 13, No. 1--2, 233--245 (2003; Zbl 1068.26006) Full Text: DOI
Anh, V. V.; Leonenko, N. N. Harmonic analysis of random fractional diffusion-wave equations. (English) Zbl 1053.60064 Appl. Math. Comput. 141, No. 1, 77-85 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 60H15 35C15 26A33 35R10 PDFBibTeX XMLCite \textit{V. V. Anh} and \textit{N. N. Leonenko}, Appl. Math. Comput. 141, No. 1, 77--85 (2003; Zbl 1053.60064) Full Text: DOI