Results 261 to 270 of about 126,725,776 (290)
A fractional-order analysis of recurrent Lassa fever transmission in Nigeria. [PDF]
Alaje AI, Adedeji JA, Olayiwola MO.
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Numerical and transcritical bifurcation analysis of Chikungunya dynamics within a fractional-fractal framework. [PDF]
Kocabıyık M.
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On a Caputo-type fractional derivative
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
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Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]
We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative.
Juan J Nieto
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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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New discretization of Caputo–Fabrizio derivative
Computational and Applied Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akman, Tuğba +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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Remarks on the initialization of Caputo derivative
Proceedings of 2012 IEEE/ASME 8th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, 2012In this paper, we have further discussed the initialization issue of Caputo derivative. Specially, based on an initialization theory established by Lorenzo and Hartley, we give a new result about the initialization function of Caputo derivative under the assumption of terminal initialization.
Fengrong Zhang, Changpin Li
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Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives
Annals of the University of Craiova - Mathematics and Computer Science Series, 2021This research focus on the determination of the numerical solution for the mathematical model of Fokker-Planck equations utilizing a new method, in which Sumudu transformation and homotopy analysis method (SHAM) are used together. By SHAM analytical series solution of any mathematical model including fractional derivative can be obtained.
Suleyman Cetinkaya +2 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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