Results 41 to 50 of about 675 (163)

Grüss-type fractional inequality via Caputo-Fabrizio integral operator

Acta Universitatis Sapientiae, Mathematica, 2022
Abstract In this article, the main objective is to establish the Grüss-type fractional integral inequalities by employing the Caputo-Fabrizio fractional integral.
Nale Asha B., Panchal Satish K., Chinchane Vaijanath L.   +2 more
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Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

Alexandria Engineering Journal, 2021
In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding hybrid nanoparticles. Titanium dioxide (TiO2) and silver (Ag) nanoparticles were liquefied in water (H2O) (base fluid) to make a hybrid nanofluid.
Muhammad Danish Ikram, Muhammad Imran Asjad, Ali Akgül, Dumitru Baleanu   +3 more
doaj   +1 more source

Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator [PDF]

International Journal of Differential Equations, 2020
In this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the fixed-point theory.
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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

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

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

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

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

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