Results 51 to 60 of about 3,823 (242)

The Impact of Fractional Derivatives with Singular and Non-Singular Kernels on the Dynamics of Holling Type II Predator–Prey Models Under Climate Change Effects

Mathematics
This work investigates the complex dynamics of two novel Holling type II predator–prey (PP) models under the impact of climate change and controlled by the Caputo and Caputo–Fabrizio fractional operators.
Jawdat Alebraheem, A. E. Matouk
doaj   +1 more source

Explicit Iteration and Unique Positive Solution for a Caputo-Hadamard Fractional Turbulent Flow Model

IEEE Access, 2019
Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang, Xueyan Ren, Lihong Zhang, Bashir Ahmad   +3 more
doaj   +1 more source

Non integer order, state space model of heat transfer process using Caputo-Fabrizio operator [PDF]

, 2018
The paper is intended to show a new state space, non integer order model of an one-dimensional heat transfer process. The proposed model derives directly from time continuous, state space semigroup model.
Oprzędkiewicz, K.
core   +1 more source

Hidden chaotic attractors and self-excited chaotic attractors in a novel circuit system via Grünwald–Letnikov, Caputo-Fabrizio and Atangana-Baleanu fractional operators

Alexandria Engineering Journal
Recently, the study of hidden and self-excited attractors has drawn considerable significance in dynamical systems due to its potential applications in nature and industry. Here, a new circuit system is proposed.
A.E. Matouk, Monica Botros
doaj   +1 more source

On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations

Boundary Value Problems, 2017
By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu, Asef Mousalou, Shahram Rezapour   +2 more
doaj   +1 more source

Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment

Fixed Point Theory and Algorithms for Sciences and Engineering
Several epidemiological models use the Caputo fractional-order differential operator without establishing its significance. This study verifies a Caputo operator-based fractional-order epidemiological model of the SAIVR type. COVID-19 kills.
Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, Omar Abu Arqub, Mehmet Senol   +4 more
doaj   +1 more source

A novel method for Milne-type inequalities using proportional Caputo-hybrid operator

Miskolc Mathematical Notes
In mathematics and the applied sciences, fractional calculus is a significant generalization and a very useful tool as it overcomes many limitations of classical analysis.
İzzetti̇n Demi̇r
doaj   +1 more source

Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator

Alexandria Engineering Journal, 2020
The present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the ...
Abdon Atangana, Muhammad Altaf Khan, Fatmawati   +2 more
doaj   +1 more source

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

Advanced Materials, EarlyView.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang, Gonzalo Rivera‐Sierra, Shirin Siahjani‐Gultekin, Jenifer Rubio‐Magnieto, Anis Allagui, Ignacio Sanjuán, David Franco, Antonio Guerrero, Enrique H. Balaguera, Juan Bisquert   +9 more
wiley   +1 more source

Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives

Journal of Function Spaces, 2021
In this paper, we have extended the model of HIV-1 infection to the fractional mathematical model using Caputo-Fabrizio and Atangana-Baleanu fractional derivative operators.
Sara Salem Alzaid, Badr Saad T. Alkahtani, Shivani Sharma, Ravi Shanker Dubey   +3 more
doaj   +1 more source