Results 1 to 10 of about 39,585 (286)
Fractional Telegraph Equation with the Caputo Derivative [PDF]
Fractal and Fractional, 2023 The Cauchy problem for the telegraph equation (Dtρ)2u(t)+2αDtρu(t)+Au(t)=f(t) (00), with the Caputo derivative is considered. Here, A is a selfadjoint positive operator, acting in a Hilbert space, H; Dt is the Caputo fractional derivative. Conditions are
R. Ashurov, R. Saparbayev
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Approximation of the Riesz–Caputo Derivative by Cubic Splines [PDF]
Algorithms, 2022 Differential problems with the Riesz derivative in space are widely used to model anomalous diffusion. Although the Riesz–Caputo derivative is more suitable for modeling real phenomena, there are few examples in literature where numerical methods are ...
Francesca Pitolli +2 more
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Asymptotic expansions and approximations for the Caputo derivative [PDF]
Computational and Applied Mathematics, 2018 In this paper, we use the asymptotic expansions of the binomial coefficients and the weights of the L1 approximation to obtain approximations of order 2-α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Yuri M. Dimitrov +2 more
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SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order. [PDF]
Adv Differ Equ, 2020 We provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated.
Rezapour S, Mohammadi H, Samei ME.
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Journal of Mathematics, 2020 This work is dedicated to the study of the relationship between altitude and barometric atmospheric pressure. There is a consistent literature on this relationship, out of which an ordinary differential equation with initial value problems is often used ...
Muath Awadalla +2 more
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Modeling and simulation of the novel coronavirus in Caputo derivative. [PDF]
Results Phys, 2020 La enfermedad por coronavirus o COVID-19 es una enfermedad infecciosa causada por un coronavirus recién descubierto. La pandemia de COVID-19 es un pánico incitante para la salud humana y la economía, ya que hasta el momento no existe una vacuna o un tratamiento eficaz.
Awais M +4 more
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On the sectorial property of the Caputo derivative operator
Applied Mathematics Letters, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazufumi Ito +2 more
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A High Order Formula to Approximate the Caputo Fractional Derivative
Communications on Applied Mathematics and Computation, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Mokhtari, F. Mostajeran
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Differential equations with tempered Ψ-Caputo fractional derivative
Mathematical Modelling and Analysis, 2021 In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Milan Medveď, Eva Brestovanská
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An analytical solution for the Caputo type generalized fractional evolution equation
Alexandria Engineering Journal, 2022 The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
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