Results 1 to 10 of about 758 (132)

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 of syphilis infection caused by sex. The developed model properties, which take into account linear
Saleem MU, Farman M, Nisar KS, Ahmad A, Munir Z, Hincal E.   +5 more
europepmc   +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 derivative (FOD).
Muhammad SİNAN, Kamal SHAH, Thabet ABDELJAWAD, Ali AKGUL   +3 more
doaj   +8 more sources

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

Results in Physics, 2022
الهدف من هذه الورقة هو دراسة ديناميكيات نموذج الانتقال الداخلي لحمى الضنك باستخدام نهج مشتق تجزيئي جديد بمعنى النوى المفردة وغير المفردة. مشغل النواة المفرد هو بمعنى كابوتو، في حين أن مشغل النواة غير المفرد هو مشغل أتانغانا- باليانو كابوتو. يتم تقديم وجود وتفرد الحل مع المشتقة القطعية للمشكلة المدروسة باستخدام نظريات النقطة الثابتة.
Shabir Ahmad, Mansour F. Yassen, Mohammad Mahtab Alam, Soliman Alkhati, Fahd Jarad, Muhammad Bilal Riaz   +5 more
openaire   +3 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 suggested to threat specific problems; however, It have been noticed that some problems exhibit ...
Sonal Jain, Youssef El-Khatib
openaire   +4 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. Moreover, some necessary conditions to demonstrate the existence of solutions for the multi-term fractional delay differential equations with wth order and the piecewise equations under the setting
Sumati Kumari Panda, Thabet Abdeljawad, Fahd Jarad   +2 more
openaire   +3 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, 2019
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 solution associated with the amplitude–frequency equation is obtained based on the averaging ...
Jun Wang, Yongjun Shen, Shaopu Yang, Yongjie Lu, Xianghong Li, Dawei Zuo   +5 more
openaire   +2 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 piecewise derivative and integral. To obtain the approximate solution of the considered models we apply a
Mati ur Rahman, Saira Tabassum, Ali Althobaiti, Waseem, Saad Althobaiti   +4 more
openaire   +3 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
openaire   +3 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. This study explore a fractional co-infection disease model by utilizing a piecewise modified Atangana-Baleanu-
Ayesha Saleem, Mati ur Rahman, Salah Boulaaras, Rafik Guefaifia, Dumitru Baleanu   +4 more
openaire   +3 more sources

Orthonormal piecewise Vieta-Lucas functions for the numerical solution of the one- and two-dimensional piecewise fractional Galilei invariant advection-diffusion equations

Journal of Advanced Research, 2023
Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statement ...
Mohammad Hossein Heydari, Mohsen Razzaghi, Dumitru Baleanu   +2 more
doaj   +1 more source