[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 …

Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions

MA Iqbal, Y Wang, MM Miah, MS Osman - Fractal and Fractional, 2021 - mdpi.com
In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–
Kashiwara–Miwa equation with conformable derivative by using an efficient and well …

A variational principle for a fractal nano/microelectromechanical (N/MEMS) system

CH He - International Journal of Numerical Methods for Heat & …, 2023 - emerald.com
Purpose The variational principle views a complex problem in an energy way, it gives good
physical understanding of an iteration method, and the variational-based numerical methods …

Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators

S Kumar, RP Chauhan, S Momani… - Numerical Methods for …, 2024 - Wiley Online Library
Nowadays, the complete world is suffering from untreated infectious epidemic disease
COVID‐19 due to coronavirus, which is a very dangerous and deadly viral infection. So, the …

Modelling and analysis of a measles epidemic model with the constant proportional Caputo operator

M Farman, A Shehzad, A Akgül, D Baleanu, MD Sen - Symmetry, 2023 - mdpi.com
Despite the existence of a secure and reliable immunization, measles, also known as
rubeola, continues to be a leading cause of fatalities globally, especially in underdeveloped …

The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique

S Djennadi, N Shawagfeh, MS Osman… - Physica …, 2021 - iopscience.iop.org
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …

Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator

S Deepika, P Veeresha - Chaos, Solitons & Fractals, 2023 - Elsevier
The chaotic waterwheel model is a mechanical model that exhibits chaos and is also a
practical system that justifies the Lorenz system. The chaotic waterwheel model (or Malkus …

[HTML][HTML] A new efficient technique using Laplace transforms and smooth expansions to construct a series solution to the time-fractional Navier-Stokes equations

A Burqan, A El-Ajou, R Saadeh, M Al-Smadi - Alexandria Engineering …, 2022 - Elsevier
In this article, we introduce a new technique to create a series solution to the time-fractional
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …

[HTML][HTML] Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers

S Tarla, KK Ali, TC Sun, R Yilmazer, MS Osman - Results in Physics, 2022 - Elsevier
In this study, the Fokas system which represents the spread of irregular pulse in monomode
optical fibers is investigated via the Jacobi elliptic function expansion (JEFE) method. This …

[HTML][HTML] Analytical solutions of conformable Drinfel'd–Sokolov–Wilson and Boiti Leon Pempinelli equations via sine–cosine method

SW Yao, S Behera, M Inc, H Rezazadeh, JPS Virdi… - Results in Physics, 2022 - Elsevier
In this paper, we studied the Drinfel'd–Sokolov–Wilson equation (DSWE) and Boiti Leon
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …