“…Linear and nonlinear fractional diferential equations can successfully simulate fractional derivatives in a range of scientifc and technical domains, including electrical networks, chemical physics, control theory of dynamical systems, reaction-difusion, signal processing, and heat transform [1][2][3][4][5][6][7]. Because fractional diferential equations (FDEs) often exist in several felds of engineering and science, many researchers focus their eforts on obtaining exact/approximate solutions to these dynamic fractional diferential equations utilizing a variety of powerful established approaches, including the fnite diference method [8], Caputo fractional-reduced diferential transform method [9][10][11], Padé-Sumudu-Adomian decomposition method [12], triple Laplace transform method [13][14][15], double Sumudu transform iterative method [16], shifted Chebyshev polynomial-based method [17], Laplace decomposition method [18,19], homotopy analysis method [20], double Laplace transform method [21], homotopy perturbation method [22,23], conformable reduced differential transform method [24], conformable fractionalmodifed homotopy perturbation, Adomian decomposition method [25], diferential transform method [26][27][28], and the new function method based on the Jacobi elliptic functions [29].…”