Results 21 to 30 of about 2,240 (177)

Using the Elzaki decomposition method to solve nonlinear fractional differential equations with the Caputo-Fabrizio fractional operator

مجلة بغداد للعلوم
The techniques of fractional calculus are applied successfully in many branches of science and engineering, one of the techniques is the Elzaki Adomian decomposition method (EADM), which researchers did not study with the fractional derivative of Caputo
Mohammed Abdulshareef Hussein
doaj   +3 more sources

On chaos control of nonlinear fractional Newton-Leipnik system via fractional Caputo-Fabrizio derivatives

Scientific Reports, 2023
In this work, we present a design for a Newton-Leipnik system with a fractional Caputo-Fabrizio derivative to explain its chaotic characteristics. This time-varying fractional Caputo-Fabrizio derivative approach is applied to solve the model numerically,
Najat Almutairi, Sayed Saber
doaj   +2 more sources

Certain Weighted Fractional Inequalities via the Caputo–Fabrizio Approach

Fractal and Fractional, 2022
The Caputo–Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau   +3 more
doaj   +2 more sources

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   +4 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   +2 more sources

One-Dimensional Consolidation of Viscoelastic Soils Incorporating Caputo-Fabrizio Fractional Derivative

Applied Sciences, 2021
In this paper, the Caputo-Fabrizio fractional derivative is introduced to investigate the one-dimensional consolidation behavior of viscoelastic soils.
Minghua Huang, Chang Lv, Suhua Zhou, Shuaikang Zhou, Jiatao Kang   +4 more
doaj   +2 more sources

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.
Olumuyiwa James Peter
openaire   +3 more sources

Hermite–Hadamard-Type Inequalities for Generalized Convex Functions via the Caputo-Fabrizio Fractional Integral Operator

Journal of Function Spaces, 2021
Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians.
Dong Zhang, Muhammad Shoaib Saleem, Thongchai Botmart, M. S. Zahoor, R. Bano   +4 more
doaj   +2 more sources

Sensitivity analysis and dynamics of brucellosis infection disease in cattle with control incident rate by using fractional derivative [PDF]

Scientific Reports
The farming of animals is one of the largest industries, with animal food products, milk, and dairy being crucial components of the global economy. However, zoonotic bacterial diseases, including brucellosis, pose significant risks to human health.
Muhammad Farman, Evren Hincal, Saba Jamil, Nezihal Gokbulut, Kottakkaran Sooppy Nisar, Aceng Sambas   +5 more
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Generalized Caputo–Fabrizio fractional operator: an application in image denoising

Applied Mathematics in Science and Engineering
The aim of the present paper is to propose the algorithm using the Caputo–Fabrizio fractional integral operator of non-singular type with the Mittag-Leffler function in the generalized form to find the coefficients of a kernel to remove the noise from ...
A. M. Khan, S. Gaur, D. L. Suthar
doaj   +2 more sources