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 …

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

The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

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 …

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 …

Based on the peridynamic (PD) theory introduced by Dr. Stewart A. Silling from Sandia
National Laboratories in 2000, this book presents the nonlocal PD differential operator and …

In engineering, a fast estimation of the periodic property of a nonlinear oscillator is much
needed. This paper reviews some simplest methods for nonlinear oscillators, including He's …