Progress in Fractional Differentiation & Applications

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A new analytical method called the local fractional natural homotopy perturbation method (LFNHPM) for solving partial differential equations with local fractional derivative is introduced. The proposed analytical method is a combination of the local fractional homotopy perturbation method (LFHPM) and the local fractional natural transform (LFNTM). In this analytical method, the fractional derivative operators are computed in local fractional sense, and the nonlinear terms are calculated using He’s polynomial. Some applications are given to illustrate the simplicity, efficiency, and high accuracy of the proposed method.

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