Results 51 to 60 of about 2,240 (177)

The Caputo vs. Caputo-Fabrizio operators in modeling of heat transfer process

Bulletin of the Polish Academy of Sciences: Technical Sciences, 2018
In the paper two non-integer order, state space models of heat transfer process are compared. The first uses a known Caputo operator and the second – a new operator proposed by Caputo and Fabrizio in 2015.
K. Oprzędkiewicz, W. Mitkowski, E. Gawin, K. Dziedzic   +3 more
openaire   +3 more sources

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

The dynamics of a new chaotic system through the Caputo–Fabrizio and Atanagan–Baleanu fractional operators

Advances in Mechanical Engineering, 2019
The aim of this article is to analyze the dynamics of the new chaotic system in the sense of two fractional operators, that is, the Caputo–Fabrizio and the Atangana–Baleanu derivatives.
Muhammad Altaf Khan
doaj   +1 more source

The fuzzy fractional acoustic waves model in terms of the Caputo-Fabrizio operator

AIMS Mathematics, 2023
<abstract><p>This paper proposes an analytical solution for a fractional fuzzy acoustic wave equation. Under the fractional Caputo-Fabrizio operator, we use the Laplace transformation and the iterative technique. In the present study, the achieved series type result was determined, and we approximated the estimated values of the suggested ...
Naveed Iqbal, Imran Khan, Rasool Shah, Kamsing Nonlaopon   +3 more
openaire   +2 more sources

Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative

Alexandria Engineering Journal, 2021
This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on
Nesrine Harrouche, Shaher Momani, Shatha Hasan, Mohammed Al-Smadi   +3 more
doaj   +1 more source

-Weighted Caputo–Fabrizio Derivatives

, 2023
In this study, two classes of hybrid boundary value problems involving ψ-weighted Caputo–Fabrizio fractional derivatives are considered. Based on the properties of the given operator, we construct the hybrid fractional integral equations corresponding to
Mohammad Alshammari, Saleh Alshammari, Mohammed S. Abdo   +2 more
core   +1 more source

Hermite–Hadamard inequality for fractional integrals of Caputo–Fabrizio type and related inequalities

Journal of Inequalities and Applications, 2020
In this article, firstly, Hermite–Hadamard’s inequality is generalized via a fractional integral operator associated with the Caputo–Fabrizio fractional derivative.
Mustafa Gürbüz, Ahmet Ocak Akdemir, Saima Rashid, Erhan Set   +3 more
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions

Advances in Difference Equations, 2021
Our aim in this article is to solve the composite fractional relaxation differential equation by using different definitions of the non-integer order derivative operator D t α $D_{t}^{\alpha }$ , more specifically we employ the definitions of Caputo ...
Azhar Ali Zafar, Jan Awrejcewicz, Olga Mazur, Muhammad Bilal Riaz   +3 more
doaj   +1 more source

Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space

Alexandria Engineering Journal, 2022
The point of this paper is to analyze and investigate the analytic-approximate solutions for fractional system of Volterra integro-differential equations in framework of Caputo-Fabrizio operator.
Fatima Youbi, Shaher Momani, Shatha Hasan, Mohammed Al-Smadi   +3 more
doaj   +1 more source