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 …

This study solves the coupled fractional differential equations defining the massive Thirring
model and the Kundu Eckhaus equation using the Natural transform decomposition method …

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

This research proposes and investigates an epidemiological model to study the dynamic
behaviors of the Hepatitis B virus (HBV) under immune response and cytokine influence …

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 …

This research focuses on the development, analysis, and simulation of fractional
mathematical models to investigate the transmission dynamics of different phases of breast …

In this work, we introduce a fractional-order cancer treatment mathematical model of a drug
targeting treatment through nanotechnology. We present an approximate solution of …

This study develops a mathematical link between pharmacokinetics and fractional calculus,
emphasizing on metformin's complex metabolic activities in diverse body areas. Our study …

The present study examines a semi-analytical method known as the Fractional Residual
Power Series Method for obtaining solutions to the non-linear, time-fractional Kawahara and …

This article presents two innovative mathematical models for the dynamics of Chikungunya
virus contamination by using Caputo fractional derivative. By applying the recently …