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A. Atangana, On the new fractional derivative and application to nonlinear Fisher’s reaction-diffusion equation, Appl. Math. Comput. 273 (2016), 948–956. DOI: 10.1016/j.amc.2015.10.021Open DOISearch in Google Scholar
M. Caputo and M. Fabrizio, A new definition of fractional derivative without singular kernel, Progr. Fract. Differ. Appl. 1 (2015), no. 2, 73–85. DOI: 10.12785/pfda/010201Open DOISearch in Google Scholar
N.J. Ford, J. Xiao, and Y. Yan, A finite element method for time fractional partial differential equations, Fract. Calc. Appl. Anal. 14 (2011), no. 3, 454–474. DOI: 10.2478/s13540-011-0028-2Open DOISearch in Google Scholar
H. Hejazi, T. Moroney, and F. Liu, A finite volume method for solving the two-sided time-space fractional advection-dispersion equation, Cent. Eur. J. Phys. 11 (2013), no. 10, 1275–1283. DOI: 10.2478/s11534-013-0317-yOpen DOISearch in Google Scholar
Y. Jiang and J. Ma, High-order finite element methods for time-fractional partial differential equations, J. Comput. Appl. Math. 235 (2011), no. 11, 3285–3290. DOI: 10.1016/j.cam.2011.01.011Open DOISearch in Google Scholar
C. Li, Z. Zhao, and Y. Chen, Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion, Comput. Math. Appl. 62 (2011), no. 3, 855–875. DOI: 10.1016/j.camwa.2011.02.045Open DOISearch in Google Scholar
X. Li and C. Xu, A space-time spectral method for the time fractional diffusion equation, SIAM J. Numer. Anal. 47 (2009), no. 3, 2108–2131. DOI: 10.1137/080718942Open DOISearch in Google Scholar
Y. Lin and C. Xu, Finite difference/spectral approximations for the time-fractional diffusion equation, J. Comput. Phys. 225 (2007), no. 2, 1533–1552. DOI: 10.1016/j.jcp.2007.02.001Open DOISearch in Google Scholar
Z. Liu, A. Cheng, and X. Li, A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative, Int. J. Comput. Math. 95 (2018), no. 2, 396–411. DOI: 10.1080/00207160.2017.1290434Open DOISearch in Google Scholar
M.M. Meerschaert and C. Tadjeran, Finite difference approximations for fractional advection-dispersion flow equations, J. Comput. Appl. Math. 172 (2004), no. 1, 65–77. DOI: 10.1016/j.cam.2004.01.033Open DOISearch in Google Scholar
M. Zheng, F. Liu, I. Turner, and V. Anh, A novel high order space-time spectral method for the time fractional Fokker-Planck equation, SIAM J. Sci. Comput. 37 (2015), no. 2, A701–A724. DOI: 10.1137/140980545Open DOISearch in Google Scholar
P. Zhuang, F. Liu, I. Turner, and Y.T. Gu, Finite volume and finite element methods for solving a one-dimensional space-fractional Boussinesq equation, Appl. Math. Model. 38 (2014), no. 15–16, 3860–3870. DOI: 10.1016/j.apm.2013.10.008Open DOISearch in Google Scholar