A new numerical solution of the competition model among bank data in Caputo-Fabrizio derivative
AEJ - Alexandria Engineering Journal, 2020 A new numerical scheme for the Caputo-Fabrizio operator is proposed. We initially present a bank model with real data and then present the model in the fractional Caputo-Fabrizio derivative.
Xue Gong +2 more
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Sensitivity analysis and dynamics of brucellosis infection disease in cattle with control incident rate by using fractional derivative [PDF]
Scientific ReportsThe 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 +5 more
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Fractal and Fractional, 2023 This article presents the analytical study of the three species fractional food web model in the framework of the Modified Caputo–Fabrizio operator.
Badr Alkahtani, Alkahtani Badr Saad T
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Mathematical modelling of membrane oscillatory processes in a nonlinear viscoelastic medium via the Caputo-Fabrizio fractional operator [PDF]
Scientific ReportsThis paper addresses the mathematical modelling of transient processes in a steel membrane oscillating in a nonlinear viscoelastic isotropic medium. For this purpose, three types of mathematical models of the object under study with different degrees of ...
Andriy Chaban +5 more
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Generalized Caputo–Fabrizio fractional operator: an application in image denoising
Applied Mathematics in Science and EngineeringThe 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
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On initial value problem for diffusion equation with Caputo-Fabrizio operator on the plane
Discrete and Continuous Dynamical Systems - Series SzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Le Dinh
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On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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Fractal and Fractional, 2022 This paper studies the existence of extremal solutions for a nonlinear boundary value problem of Bagley–Torvik differential equations involving the Caputo–Fabrizio-type fractional differential operator with a non-singular kernel.
Haiyong Xu, Lihong Zhang, Guotao Wang
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Certain fractional inequalities via the Caputo Fabrizio operator
Filomat, 2023 The Caputo Fabrizio fractional integral operator is one of the key concepts in fractional calculus. It is involved in many concrete and practical issues. In the present study, we have discussed some novel ideas to fractional Hermite-Hadamard inequalities within a Caputo Fabrizio fractional integral framework.
Qaisar, Shahid +2 more
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Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator [PDF]
Journal of Function Spaces, 2021 This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator. The Laplace transform and the Adomian decomposition method are implemented to obtain the result of the given models.
Fatemah Mofarreh +5 more
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