The Black–Scholes option pricing model is one of the most significant achievements in
modern investment science. However, many factors are constantly fluctuating in the actual …

This paper deals the implementation of homotopy perturbation transform method (HPTM) for
numerical computation of initial valued autonomous system of time-fractional partial …

The fractional solitons have demonstrated many new phenomena, which cannot be
explained by the traditional solitary wave theory. This paper studies some famous fractional …

In this paper, we present modified homotopy perturbation method coupled by Laplace
transform to solve non-linear problems. As case study modified homotopy perturbation …

Nonlinear partial differential equations governing the obscure phenomena of shallow water
waves are discussed in this article. Time fractional model is considered to understand the …

In this paper, a combined form of the Laplace transform method with the homotopy
perturbation method (HPTM) is applied to solve nonlinear systems of partial differential …

This paper presents a modified Laplace transform homotopy perturbation method with finite
boundary conditions (MLT–HPM) designed to improve the accuracy of the approximate …

The homotopy perturbation Sumudu transform method (HPSTM) is an analytical method to
find the solutions of nonlinear differential equations in a series form. This technique was …

During the phenomena modelling process in the different areas of science and engineering
is common to face nonlinear equations without exact solutions; thus, the need of employing …

In this paper, we found the numerical solution of three-dimensional coupled Burgers'
Equations by using more efficient methods: Laplace Adomian decomposition method …