Abstract
In this paper, a new analytical method called the Elzaki Adomian decomposition method (EADM) for solving the nonlinear fractional partial differential equations (FPDEs) is introduced. The proposed analytical method is an elegant combination of Adomian decomposition method (ADM) and the Elzaki transform method (ETM). In this new analytical method, the fractional derivative is computed in Caputo sense (CFD). The approximate solutions of nonlinear biological population model with fractional order are successfully obtained using the new analytical method, and the result is compared with the result of the existing methods.
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