In this article we review the Adomian decomposition method (ADM) and its modifications
including different modified and parametrized recursion schemes, the multistage ADM for …

Smoking is one of the major cause of health problems around the globe. The present article
deals with the dynamics of giving up smoking model of fractional order. We study analytical …

This paper comprehensively studies effective numerical methods for solving the simplest
chaotic circuit model. We introduce a novel scheme for the Atangana–Baleanu Caputo …

A new non-integer order mathematical model for SARS-CoV-2, Dengue and HIV co-
dynamics is designed and studied. The impact of SARS-CoV-2 infection on the dynamics of …

The social life, economic issues, and health issues resulting from various diseases will be
impacted by the use of the epidemiological model to address the negative effects of drinking …

This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …

In this present investigation, we proposed a reliable and new algorithm for solving time‐
fractional differential models arising from physics and engineering. This algorithm employs …

The aim of this article is to introduce a new analytical and approximate technique to obtain
the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is …

This article gives insight on a biological population model (BPM) of arbitrary order with
carrying capacity. The solution of the studied model obtained via employing q-homotopy …

In this article, the considered problem of Cauchy reaction diffusion equation of fractional
order is solved by using integral transform of Laplace coupled with decomposition technique …