Results 181 to 190 of about 295 (201)
Fractional modeling dynamics of HIV and CD4+ T-cells during primary infection. [PDF]
Nonlinear Biomed Phys, 2012 Arafa A, Rida S, Khalil M.
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A frequency-based hypothesis for mechanically targeting and selectively attacking cancer cells. [PDF]
J R Soc Interface, 2015 Fraldi M +4 more
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Automatic initialization of the Caputo fractional derivative
IEEE Conference on Decision and Control and European Control Conference, 2011Initialization 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 +2 more
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A Fast Algorithm for the Caputo Fractional Derivative
East Asian Journal on Applied Mathematics, 2018Summary: 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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On a Caputo-type fractional derivative
Advances in Pure and Applied Mathematics, 2019Abstract 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 ...
Oliveira, Daniela S. +1 more
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Approximations of fractional integrals and Caputo fractional derivatives
Applied Mathematics and Computation, 2006In 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, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Moumen Bekkouche +3 more
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Caputo fractional derivative of $$\alpha $$-fractal spline
Numerical AlgorithmszbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. M. C. Priyanka +4 more
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