Homotopy Analysis Method (HAM) is semi-analytic method to solve the linear and nonlinear
mathematical models which can be used to obtain the approximate solution. The HAM …

In this work, the fuzzy fractional two‐point boundary value problems (FFTBVPs) are
analyzed and solved using the fuzzy fractional homotopy analysis method (FF‐HAM). Fuzzy …

In this study, we construct a convergent algorithm for generating an approximate analytic
solution for the fractional HIV infection of CD4+ T cells with Atangana–Baleanu fractional …

In this article, A new accurate approximate solution for a nonlinear fractional delay
differential equations are obtained using an effective algorithm so called homotopy analysis …

This paper is designed to generalize one of the important biomathematical models that
studies and analyses smoking spread in a given population within the framework of …

Fractional differential equations with strong nonlinearity are important in modelling complex
physical phenomena. Therefore, there is an urgent need to employ new technique to help …

The primary purpose of this study is to apply the Optimal Homotopy Asymptotic Method
(OHAM) to various nonlinear initial value problems of different orders to evaluate its …

In this paper, a modified algorithm based on the residual power series procedure is
employed to find an accurate approximate solution for nonlinear delay differential equations …

This research article effectively demonstrates the implementation of the modified Adomian
decomposition method (MADM). Using a numerical procedure called MADM, some classes …

A new algorithm is proposed in this paper to explain how the modified homotopy
perturbation approach can be successfully implemented based on the Pade approximants …