The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in
analytical methods, and all traditional analytical methods had abdicated their crowns. It is …

This tutorial review of fractal-Cantorian spacetime and fractional calculus begins with
Leibniz's notation for derivative without limits which can be generalized to discontinuous …

This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

The current work attempts to apply an accurate and numerical strategy to obtain analytical
and approximation soliton solutions to a significant version of the fifth-order KdV equation …

Abstract This paper highlights Li-He's approach in which the enhanced perturbation method
is linked with the parameter expansion technology in order to obtain frequency amplitude …

Local Fractional Integral Transforms and Their Applications provides information on how
local fractional calculus has been successfully applied to describe the numerous …

The identification of the Lagrange multiplier plays an import rule in the variational iteration
method, and the variational theory is widely used for this purpose. This paper suggests an …

In this study, a novel size-dependent beam model is proposed for nonlinear free vibration of
a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain …

According to the report presented by the World Health Organization, a new member of
viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan, China, on January …

This work aims to propose a new analyzing tool, called the fractional iteration algorithm I for
finding numerical solutions of nonlinear time fractional-order Cauchy reaction-diffusion …