[HTML][HTML] A review of fractional order epidemic models for life sciences problems: Past, present and future

KS Nisar, M Farman, M Abdel-Aty… - Alexandria Engineering …, 2024 - Elsevier
Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations

H Khan, K Alam, H Gulzar, S Etemad… - … and Computers in …, 2022 - Elsevier
In this article, a fractal-fractional order tuberculosis mathematical model is presented for the
existence results, numerical simulations and stability analysis. The model has six classes S …

[HTML][HTML] Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data

KS Nisar, S Ahmad, A Ullah, K Shah, H Alrabaiah… - Results in Physics, 2021 - Elsevier
We discuss a fractional-order SIRD mathematical model of the COVID-19 disease in the
sense of Caputo in this article. We compute the basic reproduction number through the next …

[PDF][PDF] Analytic solution of fractional order Pseudo-Hyperbolic Telegraph equation using modified double Laplace transform method

ST Abdulazeez, M Modanli - … Journal of Mathematics and Computer in …, 2023 - sciendo.com
Abstract The Pseudo-Hyperbolic Telegraph partial differential equation (PHTPDE) based on
the Caputo fractional derivative is investigated in this paper. The modified double Laplace …

[HTML][HTML] Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

M Yavuz, T Abdeljawad - Advances in Difference Equations, 2020 - Springer
This paper presents a fundamental solution method for nonlinear fractional regularized long-
wave (RLW) models. Since analytical methods cannot be applied easily to solve such …

New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform …

MKA Kaabar, F Martínez… - … Methods in the …, 2021 - Wiley Online Library
In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is
formulated in the senses of Caputo fractional derivative and conformable derivative. A new …

[HTML][HTML] On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative

K Shah, F Jarad, T Abdeljawad - Alexandria Engineering Journal, 2020 - Elsevier
In this manuscript, we investigate epidemic model of dengue fever disease under Caputo
and Fabrizio fractional derivative abbreviated as (CFFD). The respective investigation is …

Existence of solutions for some functional integrodifferential equations with nonlocal conditions

K Munusamy, C Ravichandran… - … Methods in the …, 2020 - Wiley Online Library
In this paper, we discuss the existence of mild solution of functional integrodifferential
equation with nonlocal conditions. To establish this results by using the resolvent operator …

[HTML][HTML] Characteristics of heat transfer and fluid flow in microchannel heat sinks with rectangular grooves and different shaped ribs

Q Zhu, K Chang, J Chen, X Zhang, H Xia… - Alexandria Engineering …, 2020 - Elsevier
Microchannels are effective heat sinks for microelectronic systems. However, it remains
unclear what form of channels will be most effective in improving the overall performance of …

[HTML][HTML] Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative

MU Rahman, M Arfan, Z Shah, P Kumam… - Alexandria Engineering …, 2021 - Elsevier
The current work investigates the mathematical model of Tuberculosis disease with
incomplete treatment under the Atangana-Baleanu-Caputo (ABC) derivative with fractional …