TY - JOUR AU - Barkai, E. AU - Metzler, R. AU - Klafter, J. PY - 2000 DA - 2000// TI - From continuous time random walks to the fractional Fokker–Planck equation JO - Phys. Rev. E VL - 61 UR - https://doi.org/10.1103/PhysRevE.61.132 DO - 10.1103/PhysRevE.61.132 ID - Barkai2000 ER - TY - JOUR AU - Chaves, A. PY - 1998 DA - 1998// TI - Fractional diffusion equation to describe Lévy flights JO - Phys. Lett. A VL - 239 UR - https://doi.org/10.1016/S0375-9601(97)00947-X DO - 10.1016/S0375-9601(97)00947-X ID - Chaves1998 ER - TY - CHAP AU - Gorenflo, R. AU - Mainardi, F. AU - Scalas, E. AU - Raberto, M. PY - 2001 DA - 2001// TI - Fractional calculus and continuous-time finance. III. The diffusion limit BT - Mathematical Finance PB - Birkhäuser CY - Basel UR - https://doi.org/10.1007/978-3-0348-8291-0_17 DO - 10.1007/978-3-0348-8291-0_17 ID - Gorenflo2001 ER - TY - BOOK AU - Ablowitz, M. J. AU - Clarkson, P. A. PY - 1991 DA - 1991// TI - Solitons: Nonlinear Evolution Equations and Inverse Scattering PB - Cambridge University Press CY - Cambridge UR - https://doi.org/10.1017/CBO9780511623998 DO - 10.1017/CBO9780511623998 ID - Ablowitz1991 ER - TY - JOUR AU - Biler, P. AU - Funaki, T. AU - Woyczynski, W. A. PY - 1998 DA - 1998// TI - Fractal Burger equations JO - J. Differ. Equ. VL - 148 UR - https://doi.org/10.1006/jdeq.1998.3458 DO - 10.1006/jdeq.1998.3458 ID - Biler1998 ER - TY - JOUR AU - Mann, J. A. AU - Woyczynski, W. A. PY - 2001 DA - 2001// TI - Growing fractal interfaces in the presence of self-similar hopping surface diffusion JO - Physica A VL - 291 UR - https://doi.org/10.1016/S0378-4371(00)00467-2 DO - 10.1016/S0378-4371(00)00467-2 ID - Mann2001 ER - TY - JOUR AU - Meerschaert, M. AU - Tadjeran, C. PY - 2006 DA - 2006// TI - Finite difference approximations for two-sided space-fractional partial differential equations JO - Appl. Numer. Math. VL - 56 UR - https://doi.org/10.1016/j.apnum.2005.02.008 DO - 10.1016/j.apnum.2005.02.008 ID - Meerschaert2006 ER - TY - JOUR AU - Tan, C. AU - Yang, L. AU - Zhang, F. AU - Zhang, Z. Q. AU - Wong, W. S. PY - 2019 DA - 2019// TI - Stabilization of discrete time stochastic system with input delay and control dependent noise JO - Syst. Control Lett. VL - 123 UR - https://doi.org/10.1016/j.sysconle.2018.11.003 DO - 10.1016/j.sysconle.2018.11.003 ID - Tan2019 ER - TY - JOUR AU - Ghiocel, G. AU - Nicolae, P. PY - 2009 DA - 2009// TI - A numerical method for solving of the boundary value problems for ordinary differential equations JO - Results Math. VL - 53 UR - https://doi.org/10.1007/s00025-008-0340-2 DO - 10.1007/s00025-008-0340-2 ID - Ghiocel2009 ER - TY - JOUR AU - Zheng, B. PY - 2014 DA - 2014// TI - A new fractional Jacobi elliptic equation method for solving fractional partial differential equations JO - Adv. Differ. Equ. VL - 2014 UR - https://doi.org/10.1186/1687-1847-2014-228 DO - 10.1186/1687-1847-2014-228 ID - Zheng2014 ER - TY - JOUR AU - Yu, Q. AU - Liu, F. PY - 2007 DA - 2007// TI - Implicit difference approximation for time fractional order reaction diffusion equation JO - J. Xiamen Univ. Natur. Sci. VL - 45 ID - Yu2007 ER - TY - JOUR AU - Zhuang, P. PY - 2005 DA - 2005// TI - An explicit approximation for the space-time fractional diffusion equation JO - J. Comput. Math. Coll. Univ. VL - 27 UR - https://doi.org/10.1016/j.cam.2004.07.014 DO - 10.1016/j.cam.2004.07.014 ID - Zhuang2005 ER - TY - JOUR AU - Tan, P. AU - Zhang, X. PY - 2008 DA - 2008// TI - A numerical method for the space-time fractional convection–diffusion equation JO - Math. Numer. Sin. VL - 30 ID - Tan2008 ER - TY - JOUR AU - Povstenko, Y. PY - 2011 DA - 2011// TI - Solutions to time-fractional diffusion-wave equation in cylindrical coordinates JO - Adv. Differ. Equ. VL - 2011 UR - https://doi.org/10.1155/2011/930297 DO - 10.1155/2011/930297 ID - Povstenko2011 ER - TY - JOUR AU - Zhang, F. F. AU - Jiang, X. Y. PY - 2011 DA - 2011// TI - Analytical solutions for a time-fractional axisymmetric diffusion-wave equation with a source term JO - Nonlinear Anal., Real World Appl. VL - 12 UR - https://doi.org/10.1016/j.nonrwa.2010.11.015 DO - 10.1016/j.nonrwa.2010.11.015 ID - Zhang2011 ER - TY - JOUR AU - Parvizi, M. AU - Eslahchi, M. R. AU - Dehghan, M. PY - 2015 DA - 2015// TI - Numerical solution of fractional advection–diffusion equation with a nonlinear source term JO - Numer. Algorithms VL - 68 UR - https://doi.org/10.1007/s11075-014-9863-7 DO - 10.1007/s11075-014-9863-7 ID - Parvizi2015 ER - TY - JOUR AU - Bu, W. AU - Liu, X. AU - Tang, Y. AU - Jiang, Y. PY - 2015 DA - 2015// TI - Finite element multigrid method for multi-term time fractional advection–diffusion equations JO - Int. J. Model. Simul. Sci. Comput. VL - 6 UR - https://doi.org/10.1142/S1793962315400012 DO - 10.1142/S1793962315400012 ID - Bu2015 ER - TY - JOUR AU - Povstenko, Y. AU - Kyrylych, T. PY - 2017 DA - 2017// TI - Two approaches to obtaining the space-time fractional advection–diffusion equation JO - Entropy VL - 19 UR - https://doi.org/10.3390/e19070297 DO - 10.3390/e19070297 ID - Povstenko2017 ER - TY - JOUR AU - Mohyud-DinEmail, S. AU - Akram, T. AU - Abbas, M. AU - Ismail, A. AU - Ali, N. PY - 2018 DA - 2018// TI - A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1537-7 DO - 10.1186/s13662-018-1537-7 ID - Mohyud-DinEmail2018 ER - TY - JOUR AU - Marin, M. AU - Andreas, Ö. PY - 2017 DA - 2017// TI - The effect of a dipolar structure on the Holder stability in Green–Naghdi thermoelasticity JO - Contin. Mech. Thermodyn. VL - 29 UR - https://doi.org/10.1007/s00161-017-0585-7 DO - 10.1007/s00161-017-0585-7 ID - Marin2017 ER - TY - JOUR AU - Donatelli, M. AU - Mazza, M. AU - Serra-Capizzano, S. PY - 2016 DA - 2016// TI - Spectral analysis and structure preserving preconditioners for fractional diffusion equation JO - J. Comput. Phys. VL - 307 UR - https://doi.org/10.1016/j.jcp.2015.11.061 DO - 10.1016/j.jcp.2015.11.061 ID - Donatelli2016 ER - TY - JOUR AU - Lin, X. L. AU - Ng, M. K. AU - Sun, H. W. PY - 2017 DA - 2017// TI - A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations JO - J. Comput. Phys. VL - 336 UR - https://doi.org/10.1016/j.jcp.2017.02.008 DO - 10.1016/j.jcp.2017.02.008 ID - Lin2017 ER -