Results 11 to 20 of about 537,797 (362)
A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. [PDF]
Adv Differ Equ, 2020 We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplace transform, we solve the problem and give ...
Baleanu D, Mohammadi H, Rezapour S.
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On the singular perturbations for fractional differential equation. [PDF]
ScientificWorldJournal, 2014 The goal of this paper is to examine the possible extension of the singular perturbation differential equation to the concept of fractional order derivative. To achieve this, we presented a review of the concept of fractional calculus. We make use of the Laplace transform operator to derive exact solution of singular perturbation fractional linear ...
Atangana A.
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On matrix fractional differential equations [PDF]
Advances in Mechanical Engineering, 2017 The aim of this article is to study the matrix fractional differential equations and to find the exact solution for system of matrix fractional differential equations in terms of Riemann–Liouville using Laplace transform method and convolution product to
Adem Kılıçman, Wasan Ajeel Ahmood
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Mathematical biosciences and engineering : MBE, 2023 This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned
Guodong Li +3 more
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A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation
Fractal and Fractional, 2023 In this work, a predictor–corrector compact difference scheme for a nonlinear fractional differential equation is presented. The MacCormack method is provided to deal with nonlinear terms, the Riemann–Liouville (R-L) fractional integral term is treated ...
Xiaoxuan Jiang +3 more
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AIMS Mathematics, 2021 : In this paper we review the applications of fractional differential equation in economic growth models. This includes the theories about linear and nonlinear fractional differential equation, including the Fractional Riccati Differential Equation (FRDE)
M. D. Johansyah +3 more
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On inference for fractional differential equations [PDF]
Statistical Inference for Stochastic Processes, 2013 Based on Malliavin calculus tools and approximation results, we show how to compute a maximum likelihood type estimator for a rather general differential equation driven by a fractional Brownian motion with Hurst parameter H>1/2. Rates of convergence for the approximation task are provided, and numerical experiments show that our procedure leads to ...
Chronopoulou, Alexandra, Tindel, Samy
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Lie symmetry analysis of fractional ordinary differential equation with neutral delay
AIMS Mathematics, 2021 In this paper, Lie symmetry analysis method is employed to solve the fractional ordinary differential equation with neutral delay. The Lie symmetries for the fractional ordinary differential equation with neutral delay are obtained, and the group ...
Yuqiang Feng, Jicheng Yu
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Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2010 1 School of Mathematical Sciences, Queensland University of Technology, P.O. Box 2434, Brisbane, Qeensland 4001, Australia 2 Department of Statistics and Probability, Michigan State University, A416 Wells Hall, East Lansing, MI 48823, USA 3 Department of Mathematics, Mu'tah University, P.O.
Fawang Liu +5 more
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Mathematics, 2020 In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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