In this study, we forecast the outbreaks of one of the most serious health issues in South
Africa, HIV/AIDS, using mathematical models. We consider an integer-and a fractional-order …

The fractional ordered mathematical model offers more insights compared to integer order
models. In this work, we analyzed fractional order rat bite fever model. We employ the …

In this work, we use two unique methodologies, the homotopy perturbation transform method
and Yang transform decomposition method, to solve the fractional nonlinear seventh-order …

This manuscript presents enhanced versions of two methods: the natural transform iterative
method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness …

This article presents and analyzes a mathematical model for smoking-related cancer that
involves fractional-order derivative with seven different compartments. The model uses the …

Abstract The Klein-Gordon problem (KGP) is one of the interesting models that appear in
many scientific phenomena. These models are characterized by memory effects, which …

This article introduces a novel mathematical approach for modeling and analyzing Listeria
infection dynamics by considering a system of fractional-order differential equations to …

The study examines the using of Aboodh residual power series method and the Aboodh
transform iteration method (ATIM) to analyze modified Korteweg-de Vries equation (mKdV) …

Fractional nonlinear partial differential equations are used in many scientific fields to model
various processes, although most of these equations lack closed-form solutions. For this …

Bio-insecticides, such as baculoviruses, are the most well-known and environment friendly
alternative to chemical insecticides in agriculture. In this research work, our main goal is to …