This paper examines two methods for solving the nonlinear fractional Phi-four problem with variable coefficients. One of distinct states Klein–Gordon model yields equation. It is also used to simulate kink and anti-kink solitary wave connections that have recently emerged in biological systems nuclear particle physics. The approaches are being suggested consist Yang transform, homotopy perturba...

A bstract The classical Raychaudhuri equation predicts the formation of conjugate points for a congruence geodesics, in finite proper time. This conjunction with Hawking-Penrose singularity theorems incompleteness geodesics and thereby singular nature practically all spacetimes. We compute generic corrections to interior Schwarzschild black hole, arising from modifications algebra inspired by g...

This paper, for the first time ever, proposes a Laplace-like integral transform, which is called as He-Laplace 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 He?s derivative used an example to reveal main merits of present technology.