An Efficient Analytical Technique for Solving Fractional Order Biological Population Model

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Hassan Kamil Jassim, Ghazwan Ali Abdul Hussein

Abstract

This article uses the natural homotopy permutation technique to solve the fractional-order biological population model (FOBPM). The fractional derivative is defined using the Atangana-Baleanu operator (ABO). The proposed approach offers a series of solutions for FOBPM. The NHPM method is recognized as one of the best analytical procedures for solving fractional-order, nonlinear PDEs, particularly the FOBPM, since it involves fewer calculations and has a higher rate of convergence than other analytical approaches.

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