
ma2dfc
 Referenced in 162 articles
[sw20918]
 discretization of ODEs / PDEs with fractional derivatives...

CRONE
 Referenced in 156 articles
[sw07382]
 have witnessed a growing interest in fractional derivatives and their applications...

FODE
 Referenced in 203 articles
[sw08377]
 paper, firstly the time fractional, the sense of RiemannLiouville derivative, FokkerPlanck equation ... time fractional ordinary differential equation (FODE) in the sense of Caputo derivative by discretizing ... properties of RiemannLiouville derivative and Caputo derivative. Then combining the predictorcorrector approach with ... Planck equation, some numerical results for time fractional FokkerPlanck equation with several different fractional...

MittagLeffler
 Referenced in 69 articles
[sw12626]
 differential equations (i.e. differential equations containing fractional derivatives...

FOTF Toolbox
 Referenced in 11 articles
[sw19507]
 High precision algorithms are provided for fractional derivatives and fractional differential equations; (2) Two classes...

mlf
 Referenced in 11 articles
[sw18400]
 differential equations (i.e. differential equations containing fractional derivatives). USAGE: MLF(alpha,beta...

SubIval
 Referenced in 7 articles
[sw22654]
 numerical method for computations of the fractional derivative in IVPs (initial value problems ... backward differentiation formula) for a first order derivative. The formula resulting from SubIval is: t0Dαtx ... Liouville and Caputo definitions of the fractional derivative...

Fractional Variable Order Derivative Simulink
 Referenced in 7 articles
[sw19026]
 Fractional Variable Order Derivative Simulink Toolkit. The toolkit is a set of Simulinks’ blocks ... simulation of constant and variable fractional order derivatives according to the GrunwaldLetnikov definition...

fgl_deriv
 Referenced in 1 article
[sw20910]
 Fractional derivative. Compute the fractional derivative of a sampled function using GrunwaldLetnikov formulation.This implementation...

differint
 Referenced in 1 article
[sw31175]
 methods for the numerical computation of fractional derivatives and integrals have been defined. However, these ... numerical algorithms for the computation of fractional derivatives and integrals. This package is coded ... Letnikov, and RiemannLiouville algorithms from the fractional calculus are included in this package...

ADTIC
 Referenced in 1 article
[sw17727]
 with the RiemannLiouville and Caputo fractional derivatives. As an additional information about the anomalous ... identification of two required parameters of the fractional diffusion equations by approximately known initial data ... fractional diffusivity, the order of fractional differentiation and the Laplace variable. Estimations of the upper ... error bound for this parameter are derived. A technique of optimal Laplace variable determination based...

SymbMath
 Referenced in 1 article
[sw00936]
 graphic computation, e.g. any order of derivative, fractional calculus, solve equation, plot data and user ... piecewise, recursive, multivalue functions and procedures, derivatives, integrals and rules...

FOMNE
 Referenced in 2 articles
[sw22544]
 analyzed. The fractional order memristor no equilibrium system is then derived from the integer order ... mode control algorithm is derived to globally synchronize the identical fractional order memristor systems...

hp.sr
 Referenced in 5 articles
[sw17821]
 recursive equations which were derived from a generalization of continued fractions. The approximations retain their...

CTRW
 Referenced in 2 articles
[sw21936]
 mobileimmobile models, and the fractionalintime derivative transport equation. Several models for treating...

Algorithm 885
 Referenced in 8 articles
[sw09118]
 distribution. The first is a new algorithm derived from Algorithm 304’s calculation ... normal distribution via a series or continued fraction approximation, and it is good...

COULCC
 Referenced in 12 articles
[sw11843]
 COULCC: A continuedfraction algorithm for Coulomb functions of complex order with complex arguments ... varying Coulomb wave functions, and their radial derivatives, for complex η (Sommerfeld parameter), complex energies...

FCC
 Referenced in 1 article
[sw24629]
 methods. To accomplish this, a fractional differentiation matrix is derived at the Chebyshev GaussLobatto ... order FDEs and a system of linear fractionalorder delaydifferential equations...

MPiTOUGH2
 Referenced in 1 article
[sw23340]
 mole fractions and observed relative changes in electrical conductivity derived from geophysical measurements...

fourier
 Referenced in 1 article
[sw20915]
 Fractional differentiation and integration. The nth order derivative or integral of a function...