Results 1 to 10 of about 16,801 (158)

A numerical study of dengue internal transmission model with fractional piecewise derivative

Results in Physics, 2022
The goal of this paper is to study the dynamics of the dengue internal transmission model using a novel piecewise derivative approach in the sense of singular and non-singular kernels.
Shabir Ahmad, Mansour F. Yassen, Mohammad Mahtab Alam, Soliman Alkhati, Fahd Jarad, Muhammad Bilal Riaz   +5 more
doaj   +4 more sources

Dynamic response of a piecewise linear single-degree-of-freedom oscillator with fractional-order derivative [PDF]

Journal of Low Frequency Noise, Vibration and Active Control, 2021
In this paper, the dynamic response of a piecewise linear single-degree-of-freedom oscillator with fractional-order derivative is studied. First, a mathematical model of the single-degree-of-freedom system is established, and the approximate steady-state
Jun Wang, Yongjun Shen, Shaopu Yang, Yongjie Lu, Xianghong Li, Dawei Zuo   +5 more
doaj   +4 more sources

Investigation and application of a classical piecewise hybrid with a fractional derivative for the epidemic model: Dynamical transmission and modeling. [PDF]

PLoS ONE
In this research, we developed an epidemic model with a combination of Atangana-Baleanu Caputo derivative and classical operators for the hybrid operator's memory effects, allowing us to observe the dynamics and treatment effects at different time phases
Muhammad Umer Saleem, Muhammad Farman, Kottakkaran Sooppy Nisar, Aqeel Ahmad, Zainab Munir, Evren Hincal   +5 more
doaj   +4 more sources

An analysis of fractional piecewise derivative models of dengue transmission using deep neural network

Journal of Taibah University for Science
This manuscript investigates a fractional piecewise dengue transmission model using singular and non-singular kernels. The existence results and uniqueness of the solution are established by using the approach of fixed point and in the framework of ...
Mati ur Rahman, Saira Tabassum, Ali Althobaiti, Waseem, Saad Althobaiti   +4 more
doaj   +4 more sources

Analysis of Nonlinear Mathematical Model of COVID-19 via Fractional-Order Piecewise Derivative

Chaos Theory and Applications, 2023
Short memory and long memory terms are excellently explained using the concept of piecewise fractional order derivatives. In this research work, we investigate dynamical systems addressing COVID-19 under piecewise equations with fractional order ...
Thabet Abdeljawad, Kamal Shah, Muhammad Sinan, Ali Akgul   +3 more
doaj   +7 more sources

Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations [PDF]

Mathematics, 2016
Fourier spectral methods for solving some linear stochastic space-fractional partial differential equations perturbed by space-time white noises in the one-dimensional case are introduced and analysed.
Yanmei Liu, Monzorul Khan, Yubin Yan
doaj   +4 more sources

Stochastic covid-19 model with fractional global and classical piecewise derivative

Results in Physics, 2021
Several methodologies have been advocated in the last decades with the aim to better understand behaviours displayed by some real-world problems. Among which, stochastics modelling and fractional modelling, fuzzy and others. These methodologies have been
Sonal Jain, Youssef El-Khatib
doaj   +3 more sources

Chaotic attractors and fixed point methods in piecewise fractional derivatives and multi-term fractional delay differential equations

Results in Physics, 2023
Using generalized cyclic contractions, we establish some fixed point results in controlled rectangular metric spaces. Some subsequent outcomes are obtained.
Sumati Kumari Panda, Thabet Abdeljawad, Fahd Jarad   +2 more
doaj   +2 more sources

Dynamical Analysis of Rubella Disease Model in the Context of Fractional Piecewise Derivative: Simulations with Real Statistical Data

Fractal and Fractional, 2023
Rubella is a viral disease that can lead to severe health complications, especially in pregnant women and their unborn babies. Understanding the dynamics of the Rubella disease model is crucial for developing effective strategies to control its spread ...
Badr Saad T. Alkahtani
doaj   +2 more sources

Exploring the dynamics of HIV and HCV co-infection through piecewise modified Mittag-Leffler fractional derivatives

Applied Mathematics in Science and Engineering
HIV and HCV co-infection occurs when an individual is infected with both the Human Immunodeficiency Virus (HIV) and the Hepatitis C Virus (HCV) simultaneously. This co-infection is relatively prevalent, particularly among high-risk populations.
Ayesha Saleem, Mati ur Rahman, Salah Boulaaras, Rafik Guefaifia, Dumitru Baleanu   +4 more
doaj   +2 more sources