“…Yang and Machado (2019) solved nonlinear Burgers equation using the travelling-wave transformation. Also, some presented schemes for numerical solutions of FPDEs are as fractional-order Legendre-Laguerre functions method (Dehestani et al 2018), the mehod based on generalized polynomials (Dahaghin and Hassani 2017), third-kind Chebyshev wavelets collocation method (Zhou and Xu 2016), Sinc-Legendre collocation method (Saadatmandi et al 2012), RBF-FD method (Nikan et al 2019(Nikan et al , 2020a, Gegenbauer spectral method (Izadkhah and Saberi-Nadjafi 2015), wavelet method (Chen et al 2010), collocation method with Chebyshev functions (Baseri et al 2018), finite difference approximation (Sedaghatjoo et al 2018), hybridized weak Galerkin finite element method (Zhang et al 2019), Legendre spectral element method (Dehghan and Abbaszadeh 2018), transcendental Bernstein series (Avazzadeh and Hassani 2019), method based on radial basis functions (Golbabai et al 2019), multivariate pade approximation (Turut et al 2011), multi-scaling method (Roozbahani et al 2018), second Chebyshev wavelet (Zhu and Wang 2017), and so on.…”