Results 51 to 60 of about 778 (152)

A numerical framework based on piecewise Chebyshev cardinal functions for fractional integro-differential equations

Results in Applied Mathematics
In this study, we develop an operational matrix technique to address a set of fractional nonlinear integro-differential equations with the Caputo–Hadamard derivative. We utilize a family of the piecewise Chebyshev cardinal functions as basis functions in
S. Mansoori Aref, M.H. Heydari, M. Bayram   +2 more
doaj   +1 more source

Existence and Stability Results for Differential Equations with a Variable-Order Generalized Proportional Caputo Fractional Derivative

Mathematics
An initial value problem for a scalar nonlinear differential equation with a variable order for the generalized proportional Caputo fractional derivative is studied. We consider the case of a piecewise constant variable order of the fractional derivative.
Donal O’Regan, Ravi P. Agarwal, Snezhana Hristova, Mohamed I. Abbas   +3 more
doaj   +1 more source

Global attracting solutions to Hilfer fractional differential inclusions of Sobolev type with noninstantaneous impulses and nonlocal conditions

Nonlinear Analysis, 2019
In this paper, we establish the existence of decay mild solutions on an unbounded interval of nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and involving the Hilfer derivative.
JinRong Wang, Ahmed Gamal Ibrahim, Donal O’Regan   +2 more
doaj   +1 more source

Fractional Stochastic Piecewise Approach to Study Hybrid Crossover Dynamics of Corruption Dynamical System: Mathematical and Statistical Analysis with Real Data Simulations

Mathematics
Recently, piecewise differential operators have been introduced to capture crossover dynamics in physical systems. In the evolution of corruption, the underlying dynamics can shift across different regimes.
Laila A. AL-Essa
doaj   +1 more source

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

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

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