Results 71 to 80 of about 16,801 (158)

Optimal Control Applied to Piecewise-Fractional Ebola Model

Mathematics
A recently proposed fractional-order mathematical model with Caputo derivatives was developed for Ebola disease. Here, we extend and generalize this model, beginning with its correction.
Silvério Rosa, Faïçal Ndaïrou
doaj   +1 more source

Theoretical and numerical investigation of a memristor system with a piecewise memductance under fractal–fractional derivatives

Open Physics
Abstract This research deals with the theoretical and numerical investigations of a memristor system with memductance function. Stability, dissipativity, and Lyapunov exponents are extensively investigated and the chaotic tendencies of the system are studied in depth.
Maroua Amel Boubekeur, İrem Akbulut Arik, Seda İğret Araz   +2 more
openaire   +3 more sources

Mathematical modelling with computational fractional order for the unfolding dynamics of the communicable diseases

Applied Mathematics in Science and Engineering
Mathematical models based on computational fractional orders, employed for accurate modelling of complex dynamic systems, can ensure the implementation of various analytical, numerical and computing methods encompassing their applications to emerging and
Mati ur Rahman, Yeliz Karaca, Ravi P. Agarwal, Sergio Adriani David   +3 more
doaj   +1 more source

Mathematical analysis of dynamical systems involving Atangana–Baleanu piecewise derivative

Alexandria Engineering Journal
Most mathematical models of epidemiology often assume initial conditions to be either zero or constant. However, this paper focuses on analyzing a mathematical model that addresses real-world problems encompassing diverse domains and varying initial data.
Ahsan Abbas, Nayyar Mehmood, Manuel De la Sen, Ahmed Al-Rawashdeh   +3 more
doaj   +1 more source

Adaptive Morphing Activation Function for Neural Networks

Fractal and Fractional
A novel morphing activation function is proposed, motivated by the wavelet theory and the use of wavelets as activation functions. Morphing refers to the gradual change of shape to mimic several apparently unrelated activation functions.
Oscar Herrera-Alcántara, Salvador Arellano-Balderas   +1 more
doaj   +1 more source

Investigating a Nonlinear Fractional Evolution Control Model Using W-Piecewise Hybrid Derivatives: An Application of a Breast Cancer Model

Fractal and Fractional
Many real-world phenomena exhibit multi-step behavior, demanding mathematical models capable of capturing complex interactions between distinct processes. While fractional-order models have been successfully applied to various systems, their inherent smoothness often limits their ability to accurately represent systems with discontinuous changes or ...
Hicham Saber, Mohammed A. Almalahi, Hussien Albala, Khaled Aldwoah, Amer Alsulami, Kamal Shah, Abdelkader Moumen   +6 more
openaire   +1 more source

Analysis of Piecewise Terminal Fractional System: Theory and Application to TB Treatment Model with Drug Resistance Development

Fractal and Fractional
Researchers have devised numerous methods to model intricate behaviors in phenomena that unfold in multiple stages. This work focuses on a specific category of piecewise hybrid terminal systems characterized by delay.
Yasir A. Madani, Mohammed Almalahi, Mohammed Rabih, Khaled Aldwoah, Ashraf A. Qurtam, Neama Haron, Alawia Adam   +6 more
doaj   +1 more source

Existence and Uniqueness of Positive Solutions for a Fractional Switched System

Abstract and Applied Analysis, 2014
We discuss the existence and uniqueness of positive solutions for the following fractional switched system: (Dc0+αu(t)+fσ(t)(t,u(t))+gσ(t)(t,u(t))=0, t∈J=[0,1]); (u(0)=u′′(0)=0,u(1)=∫01u(s) ds), where Dc0+α is the Caputo fractional derivative with ...
Zhi-Wei Lv, Bao-Feng Chen
doaj   +1 more source

Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

Computer Modeling in Engineering & Sciences, 2023
Kamal Shah, Hafsa Naz, Thabet Abdeljawad, Bahaaeldin Abdalla   +3 more
openaire   +1 more source

On a Class of Piecewise Continuous Lyapunov Functions and Uniform Eventual Stability of Nonlinear Impulsive Caputo Fractional Differential Equations via New Generalized Dini Derivative

Asia Pacific Journal of Mathematics
In this paper, the uniform eventual stability of nonlinear impulsive Caputo fractional differential equations with fixed moments of impulse is examined using the vector Lyapunov functions which is generalized by a class of piecewise continuous Lyapunov functions. Together with comparison results, sufficient conditions for the uniform eventual stability
Ante, Jackson Efiong, Atsu, Jeremiah Ugeh, Maharaj, Adhir, Narain, Ojen Kumar, Etimbuk, Emmanuel Abraham   +4 more
openaire   +2 more sources