[1] E. Buckwar and Y. Luchko, Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations, J. Math. Anal. Appl., 227(1) (1998), 81–97.
[2] V. Daftardar-Gejji, Fractional Calculus and Fractional Differential Equations, Springer Singapore, 2019.
[3] V. Daftardar-Gejji and H. Jafari, Adomian decomposition: A tool for solving a system of fractional differential equations, J. Math. Anal. Appl., 301(2) (2005), 508–518.
[4] A. El-Ajou, Z. Odibat, S. Momani, and A. Alawneh, Construction of analytical solutions to fractional differential equations using homotopy analysis method, IAENG Int. J. Appl. Math., 40(2) (2010).
[5] R. K. Gazizov, A. A. Kasatkin, and S. Y. Lukashchuk, Symmetry properties of fractional diffusion equations, Phys Scripta, 2009(T136) (2009), 014016.
[6] M. S. Hashemi and D. Baleanu, Lie Symmetry Analysis of fractional Differential Equations, Chapman and Hall/CRC, 2020.
[7] Q. Huang and S. Shen, Lie symmetries and group classification of a class of time fractional evolution systems, J. Math. Phys., 56(12) (2015).
[8] M. Inc, A. Yusuf, A. I. Aliyu, and D. Baleanu, Lie symmetry analysis, explicit solutions and conservation laws for the space-time fractional nonlinear evolution equations, Phys. A, 496 (2018), 371–383.
[9] J. Jiang, Y. Feng, and S. Li, Exact solutions to the fractional differential equations with mixed partial derivatives, Axioms, 7(1) (2018), 10.
[10] A. A. Kilbas, H. M. Srivastava, and J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, 2006.
[11] R. A. Leo, G. Sicuro, and P. Tempesta, A foundational approach to the Lie theory for fractional order partial differential equations, Fract. Calc. Appl. Anal., 20(1) (2017), 212–231.
[12] F. Y. Liu, Y. T. Gao, X. Yu, C. C. Ding, G. F. Deng, and T. T. Jia, Painleve analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics, Chaos Soliton Fractals, 144 (2021), 110559.
[13] J. G. Liu, X. J. Yang, L. L. Geng, and Y.R. Fan, Group analysis of the time fractional (3+1)-dimensional KdV-type equation, Fractals, 29(6) 2021, 2150169.
[14] M. M. Meerschaert, H. P. Scheffler, and C. Tadjeran, Finite difference methods for two-dimensional fractional dispersion equation, J. Comput. Phys., 211(1) (2006), 249–261.
[15] S. Momani and Z. Odibat, Homotopy perturbation method for nonlinear partial differential equations of fractional order, Phys. Lett. A, 365(5-6) (2007), 345–350.
[16] S. Momani and Z. Odibat, Numerical comparison of methods for solving linear differential equations of fractional order, Chaos Soliton Fractals, 31(5) (2007), 1248–1255.
[17] I. Podlubny, Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Elsevier, 1998.
[18] R. Sahadevan and P. Prakash, On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations, Chaos Soliton Fractals, 104 (2017), 107–120.
[19] K. Singla and R. K. Gupta, Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws, Nonlinear Dyn., 89 (2017), 321–331.
[20] G. Wang, Symmetry analysis, analytical solutions and conservation laws of a generalized KdV-Burgers-Kuramoto equation and its fractional version, Fractals, 29(4) (2021), 2150101.
[21] L. Wang, D. Wang, S. Shen, and Q. Huang, Lie point symmetry analysis of the Harry-Dym type equation with Riemann-Liouville fractional derivative, Acta Math. Appl. Sin-E, 34(3) (2018), 469–477.
[22] Z. Y. Zhang and G. F. Li, Invariant analysis and conservation laws of the time-fractional b-family peakon equations, Commun. Nonlinear Sci., 103 (2021), 106010.
[23] H. M. Zhu, Z. Y. Zhang, and J. Zheng, The time-fractional (2+1)-dimensional Hirota Satsuma-Ito equations: Lie symmetries, power series solutions and conservation laws, Commun. Nonlinear Sci., 115 (2022), 106724.
