[HTML][HTML] A review on epidemic models in sight of fractional calculus

KS Nisar, M Farman, M Abdel-Aty, J Cao - Alexandria Engineering Journal, 2023 - Elsevier
Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

[HTML][HTML] Solid implantable devices for sustained drug delivery

E Magill, S Demartis, E Gavini, AD Permana… - Advanced Drug Delivery …, 2023 - Elsevier
Implantable drug delivery systems (IDDS) are an attractive alternative to conventional drug
administration routes. Oral and injectable drug administration are the most common routes …

Oscillatory and complex behaviour of Caputo-Fabrizio fractional order HIV-1 infection model

S Ahmad, A Ullah, M Partohaghighi, S Saifullah… - 2022 - earsiv.cankaya.edu.tr
HIV-1 infection is a dangerous diseases like Cancer, AIDS, etc. Many mathematical models
have been introduced in the literature, which are investigated with different approaches. In …

[HTML][HTML] Qualitative and quantitative analysis of a fractal fractional HIV/AIDS model

S Jamil, M Farman, A Akgül - Alexandria Engineering Journal, 2023 - Elsevier
The fractal-fractional derivative is a type of fractional derivative that is more broadly
applicable. This method is used to investigate a variety of real-world issues. This work …

Accurate and efficient matrix techniques for solving the fractional Lotka–Volterra population model

M Izadi, Ş Yüzbaşı, W Adel - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
This paper aims to develop accurate novel collocation techniques for solving a fractional
fractional-order Lotka–Volterra (LV) predator–prey model. This type of equation has a wide …

A novel computational approach to the local fractional Lonngren wave equation in fractal media

KL Wang - Mathematical Sciences, 2024 - Springer
The main purpose of this paper is to investigate the local fractional Lonngren wave equation,
which is a generalization of Lonngren wave equation in fractal media. Firstly, an extremely …

Forecasting of HIV/AIDS in South Africa using 1990 to 2021 data: novel integer-and fractional-order fittings

P Kumar, S SM, V Govindaraj - International Journal of Dynamics and …, 2024 - Springer
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 …

[HTML][HTML] Numerical simulations on scale-free and random networks for the spread of COVID-19 in Pakistan

M Rafiq, AR Nizami, D Baleanu, N Ahmad - Alexandria Engineering …, 2023 - Elsevier
Epidemiology is the study of how and why an infectious disease occurs in a group of people.
Several epidemiological models have been developed to get information on the spread of a …

RETRACTED ARTICLE: A fractional order nonlinear model of the love story of Layla and Majnun

Z Sabir, SB Said - Scientific Reports, 2023 - nature.com
In this study, a fractional order mathematical model using the romantic relations of the Layla
and Majnun is numerically simulated by the Levenberg–Marquardt backpropagation neural …

New solutions of the fractional differential equations with modified Mittag-Leffler kernel

Z Odibat, D Baleanu - Journal of Computational and …, 2023 - asmedigitalcollection.asme.org
This paper is concerned with some features of the modified Caputo-type Mittag-Leffler
fractional derivative operator and its associated fractional integral operator. Mainly, new …