Results 151 to 160 of about 4,793 (184)

A hybrid Daubechies wavelet collocation approach for a fractional-order SIR epidemic model with delay effects. [PDF]

Sci Rep
Sarkar N, Sen M.
europepmc   +1 more source

A novel fractional-order coupled model integrating a damped oscillator equation with a non-Fickian heat conduction equation. [PDF]

Sci Rep
Li T, Zhao X, Zhang Y, Wang Y, Hu Y.
europepmc   +1 more source

Fractional order modeling of hepatitis C transmission dynamics with physics-informed neural network solutions. [PDF]

BMC Infect Dis
Muthupandi V, Gnanaprakasam AJ, Boulaaras S.   +2 more
europepmc   +1 more source

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On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Edmundo Capelas De Oliveira
exaly   +3 more sources

Automatic initialization of the Caputo fractional derivative

IEEE Conference on Decision and Control and European Control Conference, 2011
Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators.
Jean-Claude Trigeassou, Nezha Maamri, Alain Oustaloup   +2 more
openaire   +1 more source

A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
Summary: A fast algorithm with almost optimal memory for the computation of Caputo's fractional derivative is developed. It is based on a nonuniform splitting of the time interval \([0, t_n]\) and a polynomial approximation of the kernel function \((1 - \tau)^{-\alpha}\).
Wang, Kun, Huang, Jizu
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Approximations of fractional integrals and Caputo fractional derivatives

Applied Mathematics and Computation, 2006
In a series of recent papers [see \textit{K. Diethelm, A. D. Freed} and \textit{N. J. Ford}, Numer. Algorithms 36, No. 1, 31--52 (2004; Zbl 1055.65098)], and the references cited therein], the reviewer and his collaborators have proposed and analysed a numerical scheme for the approximation of \(J^\alpha\), the Riemann-Liouville fractional integral of ...
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A new fractional integral associated with the Caputo–Fabrizio fractional derivative

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Moumen Bekkouche, H. Guebbai, M. Kurulay, S. Benmahmoud   +3 more
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Caputo fractional derivative of $$\alpha $$-fractal spline

Numerical Algorithms
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T. M. C. Priyanka, A. Gowrisankar, M. Guru Prem Prasad, Yongshun Liang, Jinde Cao   +4 more
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To the Theory of Differential Inclusions with Caputo Fractional Derivatives

Differential Equations, 2020
The paper studies a Cauchy problem associated to fractional differential inclusions of the form \[ ^CD^{\alpha }x(t)\in F(t,x(t)),\quad a.e.\; t\in [t_0,T], \] \[ x(t)=w_0(t),\quad t\in [0,t_0], \] where \(\alpha \in (0,1)\), \(^CD^{\alpha }\) denotes Caputo's fractional derivative, \(F:[0,T]\times {\mathbb{R}}^n\to \mathcal{P}({\mathbb{R}}^n)\) is a ...
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