Results 261 to 270 of about 126,725,776 (290)

On a Caputo-type fractional derivative

open access: yesAdvances 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   +5 more sources

Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]

open access: yesMathematics, 2015
We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative.
Juan J Nieto
exaly   +2 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   +2 more
openaire   +1 more source

New discretization of Caputo–Fabrizio derivative

Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akman, Tuğba   +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
openaire   +1 more source

Remarks on the initialization of Caputo derivative

Proceedings of 2012 IEEE/ASME 8th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, 2012
In 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
openaire   +1 more source

Analysis of fractional Fokker-Planck equation with Caputo and Caputo-Fabrizio derivatives

Annals of the University of Craiova - Mathematics and Computer Science Series, 2021
This 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
openaire   +2 more sources

Caputo fractional derivative of $$\alpha $$-fractal spline

Numerical Algorithms
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. M. C. Priyanka   +4 more
openaire   +2 more sources

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