Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartlomiej; Pavlyukevich, Ilya; Shokri, Babak; Metzler, Ralf First-passage properties of asymmetric Lévy flights. (English) Zbl 1509.60106 J. Phys. A, Math. Theor. 52, No. 45, Article ID 454004, 48 p. (2019). MSC: 60G51 PDFBibTeX XMLCite \textit{A. Padash} et al., J. Phys. A, Math. Theor. 52, No. 45, Article ID 454004, 48 p. (2019; Zbl 1509.60106) Full Text: DOI arXiv
Zhou, H. W.; Yang, S.; Zhang, S. Q. Modeling non-Darcian flow and solute transport in porous media with the Caputo-Fabrizio derivative. (English) Zbl 1481.76234 Appl. Math. Modelling 68, 603-615 (2019). MSC: 76S05 35R11 PDFBibTeX XMLCite \textit{H. W. Zhou} et al., Appl. Math. Modelling 68, 603--615 (2019; Zbl 1481.76234) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives. (English) Zbl 1419.65015 J. Comput. Appl. Math. 356, 314-328 (2019). MSC: 65M06 65M60 65M15 35R11 35R09 65M12 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, J. Comput. Appl. Math. 356, 314--328 (2019; Zbl 1419.65015) Full Text: DOI
Zeid, Samaneh Soradi; Effati, Sohrab; Kamyad, Ali Vahidian Approximation methods for solving fractional optimal control problems. (English) Zbl 1438.49045 Comput. Appl. Math. 37, No. 1, Suppl., 158-182 (2018). MSC: 49M05 49M25 65K99 PDFBibTeX XMLCite \textit{S. S. Zeid} et al., Comput. Appl. Math. 37, No. 1, 158--182 (2018; Zbl 1438.49045) Full Text: DOI
Su, Daliang; Bao, Weimin; Liu, Jie; Gong, Chunye An efficient simulation of the fractional chaotic system and its synchronization. (English) Zbl 1404.93017 J. Franklin Inst. 355, No. 18, 9072-9084 (2018). MSC: 93C15 37D45 34A08 93-04 26A33 PDFBibTeX XMLCite \textit{D. Su} et al., J. Franklin Inst. 355, No. 18, 9072--9084 (2018; Zbl 1404.93017) Full Text: DOI
Liu, Quanzhen; Mu, Shanjun; Liu, Qingxia; Liu, Baoquan; Bi, Xiaolei; Zhuang, Pinghui; Li, Bochen; Gao, Jian An RBF based meshless method for the distributed order time fractional advection-diffusion equation. (English) Zbl 1403.65096 Eng. Anal. Bound. Elem. 96, 55-63 (2018). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Q. Liu} et al., Eng. Anal. Bound. Elem. 96, 55--63 (2018; Zbl 1403.65096) Full Text: DOI
Yin, Xiucao; Li, Lang; Fang, Shaomei Second-order accurate numerical approximations for the fractional percolation equations. (English) Zbl 1412.65097 J. Nonlinear Sci. Appl. 10, No. 8, 4122-4136 (2017). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{X. Yin} et al., J. Nonlinear Sci. Appl. 10, No. 8, 4122--4136 (2017; Zbl 1412.65097) Full Text: DOI
Simmons, Alex; Yang, Qianqian; Moroney, Timothy A finite volume method for two-sided fractional diffusion equations on non-uniform meshes. (English) Zbl 1383.65101 J. Comput. Phys. 335, 747-759 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 35R11 35K05 65M50 65M12 PDFBibTeX XMLCite \textit{A. Simmons} et al., J. Comput. Phys. 335, 747--759 (2017; Zbl 1383.65101) Full Text: DOI Link
Zeng, Fanhai; Zhang, Zhongqiang; Karniadakis, George Em Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations. (English) Zbl 1352.65278 J. Comput. Phys. 307, 15-33 (2016). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{F. Zeng} et al., J. Comput. Phys. 307, 15--33 (2016; Zbl 1352.65278) Full Text: DOI
Guo, Boling; Xu, Qiang; Yin, Zhe Implicit finite difference method for fractional percolation equation with Dirichlet and fractional boundary conditions. (English) Zbl 1336.65135 AMM, Appl. Math. Mech., Engl. Ed. 37, No. 3, 403-416 (2016). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{B. Guo} et al., AMM, Appl. Math. Mech., Engl. Ed. 37, No. 3, 403--416 (2016; Zbl 1336.65135) Full Text: DOI
Ramezani, M.; Mojtabaei, M.; Mirzaei, D. DMLPG solution of the fractional advection-diffusion problem. (English) Zbl 1403.65075 Eng. Anal. Bound. Elem. 59, 36-42 (2015). MSC: 65M60 35R11 PDFBibTeX XMLCite \textit{M. Ramezani} et al., Eng. Anal. Bound. Elem. 59, 36--42 (2015; Zbl 1403.65075) Full Text: DOI
Simmons, Alex; Yang, Qianqian; Moroney, Timothy A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices. (English) Zbl 1352.65265 J. Comput. Phys. 287, 254-268 (2015). MSC: 65M06 65F08 65M12 65M22 35R11 PDFBibTeX XMLCite \textit{A. Simmons} et al., J. Comput. Phys. 287, 254--268 (2015; Zbl 1352.65265) Full Text: DOI
Liu, Q.; Liu, F.; Gu, Y. T.; Zhuang, P.; Chen, Jinghua; Turner, I. A meshless method based on point interpolation method (PIM) for the space fractional diffusion equation. (English) Zbl 1339.65132 Appl. Math. Comput. 256, 930-938 (2015). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Q. Liu} et al., Appl. Math. Comput. 256, 930--938 (2015; Zbl 1339.65132) Full Text: DOI Link
Fairweather, Graeme; Yang, Xuehua; Xu, Da; Zhang, Haixiang An ADI Crank-Nicolson orthogonal spline collocation method for the two-dimensional fractional diffusion-wave equation. (English) Zbl 1328.65216 J. Sci. Comput. 65, No. 3, 1217-1239 (2015). MSC: 65M70 65M12 65M15 35R11 PDFBibTeX XMLCite \textit{G. Fairweather} et al., J. Sci. Comput. 65, No. 3, 1217--1239 (2015; Zbl 1328.65216) Full Text: DOI arXiv
Wang, Yuan-Ming; Wang, Tao A compact locally one-dimensional method for fractional diffusion-wave equations. (English) Zbl 1339.65142 J. Appl. Math. Comput. 49, No. 1-2, 41-67 (2015). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65M12 65M15 35R11 35M12 PDFBibTeX XMLCite \textit{Y.-M. Wang} and \textit{T. Wang}, J. Appl. Math. Comput. 49, No. 1--2, 41--67 (2015; Zbl 1339.65142) Full Text: DOI
Liu, Jie; Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen Solving the Caputo fractional reaction-diffusion equation on GPU. (English) Zbl 1422.65164 Discrete Dyn. Nat. Soc. 2014, Article ID 820162, 7 p. (2014). MSC: 65M06 35R11 39B52 PDFBibTeX XMLCite \textit{J. Liu} et al., Discrete Dyn. Nat. Soc. 2014, Article ID 820162, 7 p. (2014; Zbl 1422.65164) Full Text: DOI
Zhuang, P.; Liu, F.; Turner, I.; Gu, Y. T. Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation. (English) Zbl 1429.65233 Appl. Math. Modelling 38, No. 15-16, 3860-3870 (2014). MSC: 65M60 35R11 65M08 PDFBibTeX XMLCite \textit{P. Zhuang} et al., Appl. Math. Modelling 38, No. 15--16, 3860--3870 (2014; Zbl 1429.65233) Full Text: DOI
Liu, Q.; Liu, F.; Turner, I.; Anh, V.; Gu, Y. T. A RBF meshless approach for modeling a fractal mobile/immobile transport model. (English) Zbl 1354.65204 Appl. Math. Comput. 226, 336-347 (2014). MSC: 65M70 65M06 65M12 PDFBibTeX XMLCite \textit{Q. Liu} et al., Appl. Math. Comput. 226, 336--347 (2014; Zbl 1354.65204) Full Text: DOI
Wang, Hong; Du, Ning A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation. (English) Zbl 1349.65341 J. Comput. Phys. 253, 50-63 (2013). MSC: 65M06 35R11 35K57 65Y20 PDFBibTeX XMLCite \textit{H. Wang} and \textit{N. Du}, J. Comput. Phys. 253, 50--63 (2013; Zbl 1349.65341) Full Text: DOI
Wang, Yuan-Ming Maximum norm error estimates of ADI methods for a two-dimensional fractional subdiffusion equation. (English) Zbl 1291.65275 Adv. Math. Phys. 2013, Article ID 293706, 10 p. (2013). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{Y.-M. Wang}, Adv. Math. Phys. 2013, Article ID 293706, 10 p. (2013; Zbl 1291.65275) Full Text: DOI
Yu, Q.; Liu, F.; Turner, I.; Burrage, K. A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. (English) Zbl 1311.65114 Appl. Math. Comput. 219, No. 8, 4082-4095 (2012). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{Q. Yu} et al., Appl. Math. Comput. 219, No. 8, 4082--4095 (2012; Zbl 1311.65114) Full Text: DOI
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
Li, Changpin; Zeng, Fanhai Finite difference methods for fractional differential equations. (English) Zbl 1258.34018 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1230014, 28 p. (2012). MSC: 34A08 35R11 65L12 65M06 PDFBibTeX XMLCite \textit{C. Li} and \textit{F. Zeng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1230014, 28 p. (2012; Zbl 1258.34018) Full Text: DOI
Jafari, Hossein; Khalique, Chaudry Masood; Nazari, M. An algorithm for the numerical solution of nonlinear fractional-order van der Pol oscillator equation. (English) Zbl 1255.65142 Math. Comput. Modelling 55, No. 5-6, 1782-1786 (2012). MSC: 65L12 34A08 34C15 65R20 45J05 PDFBibTeX XMLCite \textit{H. Jafari} et al., Math. Comput. Modelling 55, No. 5--6, 1782--1786 (2012; Zbl 1255.65142) Full Text: DOI
Zhuang, P.; Gu, Y. T.; Liu, Fawang; Turner, I.; Yarlagadda, P. K. D. V. Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method. (English) Zbl 1242.76262 Int. J. Numer. Methods Eng. 88, No. 13, 1346-1362 (2011). MSC: 76M25 76R99 PDFBibTeX XMLCite \textit{P. Zhuang} et al., Int. J. Numer. Methods Eng. 88, No. 13, 1346--1362 (2011; Zbl 1242.76262) Full Text: DOI Link
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. Finite element approximation for a modified anomalous subdiffusion equation. (English) Zbl 1221.65257 Appl. Math. Modelling 35, No. 8, 4103-4116 (2011). MSC: 65M60 35K20 35R11 65M12 PDFBibTeX XMLCite \textit{Q. Liu} et al., Appl. Math. Modelling 35, No. 8, 4103--4116 (2011; Zbl 1221.65257) Full Text: DOI