Results 41 to 50 of about 18,553 (218)

Modelling and analysis tuberculosis (TB) model with hybrid fractional operator

Alexandria Engineering Journal, 2023
In this work, we aim to propose a hybrid fractional-order model for investigation and observation of the tuberculosis (TB) disease involving constant-proportional Caputo (CPC) operator.
Muhammad Farman, Cicik Alfiniyah, Aamir Shehzad   +2 more
doaj   +1 more source

Theoretical and numerical analysis of fractal fractional model of tumor-immune interaction with two different kernels

Alexandria Engineering Journal, 2022
Fractal fractional operators in Caputo and Caputo-Fabrizio sense are being used in this manuscript to explore the interaction between the immune system and cancer cells.
Shabir Ahmad, Aman Ullah, Ali Akgül, Dumitru Baleanu   +3 more
doaj   +1 more source

Intrinsic Discontinuities in Solutions of Evolution Equations Involving Fractional Caputo–Fabrizio and Atangana–Baleanu Operators

Mathematics, 2020
There has been considerable recent interest in certain integral transform operators with non-singular kernels and their ability to be considered as fractional derivatives.
Christopher Nicholas Angstmann, Byron Alexander Jacobs, Bruce Ian Henry, Zhuang Xu   +3 more
doaj   +1 more source

On the linear fuzzy model associated with Caputo–Fabrizio operator [PDF]

Boundary Value Problems, 2018
In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions.
R. Abdollahi, A. Khastan, J. J. Nieto, R. Rodríguez-López   +3 more
openaire   +4 more sources

Further extended Caputo fractional derivative operator and its applications

Russian Journal of Mathematical Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, P., Jain, S., Mansour, T.
openaire   +2 more sources

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

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

Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative

Fractal and Fractional, 2022
In this article, the mathematical model of COVID-19 is analyzed in the sense of a fractional order Caputo operator with the consideration of an asymptomatic class. The suggested model is comprised of four compartments. The results from fixed point theory
Badr S. Alkahtani
doaj   +1 more source

Optimal B-spline bases for the numerical solution of fractional differential problems [PDF]

, 2018
Efficient numerical methods to solve fractional differential problems are particularly required in order to approximate accurately the nonlocal behavior of the fractional derivative.
Pitolli, Francesca
core   +2 more sources

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