“…Hadamard, Riemann-Liouville, Coimbra, Grunwald-Letnikov, Riesz, Weyl, Liouville Caputo, Atangana-Baleanu, Caputo-Fabrizio and some others, provided essential definitions of fractional operators [1][2][3][4][5]. To analyse the nonlinear FPDE solutions, several sophisticated approaches for discovering precise solutions have been devised, such as the Hermite colocation method [6], the optimal homotopy asymptotic technique [7], the Adomian decomposition method [8], the homotopy perturbation transform method [9], the Pade approximation and homotopy-Pade technique [10], the invariant subspace method [11], the q-homotopy analysis transform method [12], the homotopy analysis Sumudu transform method [13] and the Sumudu transform series expansion method [14]. Without applying perturbation techniques, the homotopy analysis technique converts a problem into an infinite number of linear problems.…”