Shamseldeen, S.; Elsaid, A.; Madkour, S. Caputo-Riesz-Feller fractional wave equation: analytic and approximate solutions and their continuation. (English) Zbl 1418.35366 J. Appl. Math. Comput. 59, No. 1-2, 423-444 (2019). MSC: 35R11 35C20 PDFBibTeX XMLCite \textit{S. Shamseldeen} et al., J. Appl. Math. Comput. 59, No. 1--2, 423--444 (2019; Zbl 1418.35366) Full Text: DOI
Wei, Leilei; Liu, Lijie; Sun, Huixia Stability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed order. (English) Zbl 1422.65271 J. Appl. Math. Comput. 59, No. 1-2, 323-341 (2019). MSC: 65M60 65M12 65M06 35S10 65M15 35R11 PDFBibTeX XMLCite \textit{L. Wei} et al., J. Appl. Math. Comput. 59, No. 1--2, 323--341 (2019; Zbl 1422.65271) Full Text: DOI
Wang, Tao; Wang, Yuan-Ming A modified compact ADI method and its extrapolation for two-dimensional fractional subdiffusion equations. (English) Zbl 1354.65173 J. Appl. Math. Comput. 52, No. 1-2, 439-476 (2016). Reviewer: Petr Sváček (Praha) MSC: 65M06 65M12 65M15 35R11 35K05 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Y.-M. Wang}, J. Appl. Math. Comput. 52, No. 1--2, 439--476 (2016; Zbl 1354.65173) Full Text: DOI
Chen, Chang-Ming; Liu, F. A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation. (English) Zbl 1177.26009 J. Appl. Math. Comput. 30, No. 1-2, 219-236 (2009). MSC: 26A33 65M12 65M06 PDFBibTeX XMLCite \textit{C.-M. Chen} and \textit{F. Liu}, J. Appl. Math. Comput. 30, No. 1--2, 219--236 (2009; Zbl 1177.26009) Full Text: DOI
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
Momani, Shaher; Odibat, Zaid M. Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. (English) Zbl 1134.35093 J. Appl. Math. Comput. 24, No. 1-2, 167-178 (2007). Reviewer: Lokenath Debnath (Edinburg) MSC: 35Q35 26A33 33E20 PDFBibTeX XMLCite \textit{S. Momani} and \textit{Z. M. Odibat}, J. Appl. Math. Comput. 24, No. 1--2, 167--178 (2007; Zbl 1134.35093) 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
Huang, F.; Liu, Fawang The space-time fractional diffusion equation with Caputo derivatives. (English) Zbl 1085.35003 J. Appl. Math. Comput. 19, No. 1-2, 179-190 (2005). MSC: 35A08 26A33 49K20 44A10 35S10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{F. Liu}, J. Appl. Math. Comput. 19, No. 1--2, 179--190 (2005; Zbl 1085.35003) Full Text: DOI
Huang, F.; Liu, Fawang The fundamental solution of the space-time fractional advection-dispersion equation. (English) Zbl 1086.35003 J. Appl. Math. Comput. 18, No. 1-2, 339-350 (2005). MSC: 35A08 35K57 26A33 49K20 44A10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{F. Liu}, J. Appl. Math. Comput. 18, No. 1--2, 339--350 (2005; Zbl 1086.35003) 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