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This paper, for the first time ever, proposes a Laplace-like integral transform, which is called as He-Laplace transform, its basic properties are elucidated. The homotopy perturbation method coupled with this new transform becomes much effective in solving fractal differential equations. Phi-four equation with He’s derivative is used as an example to reveal the main merits of the present technology.

Approximate analytical solution for Phi-four equation with He’s fractal derivative