• 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 Riemann-Liouville derivative, Fokker-Planck equation ... time fractional ordinary differential equation (FODE) in the sense of Caputo derivative by discretizing ... properties of Riemann-Liouville derivative and Caputo derivative. Then combining the predictor-corrector approach with ... Planck equation, some numerical results for time fractional Fokker-Planck equation with several different fractional...
  • Mittag-Leffler

  • 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 Grunwald-Letnikov definition...
  • fgl_deriv

  • Referenced in 1 article [sw20910]
  • Fractional derivative. Compute the fractional derivative of a sampled function using Grunwald-Letnikov 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 Riemann-Liouville algorithms from the fractional calculus are included in this package...
  • AD-TIC

  • Referenced in 1 article [sw17727]
  • with the Riemann-Liouville 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, multi-value 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]
  • mobile-immobile models, and the fractional-in-time 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 continued-fraction 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 Gauss-Lobatto ... order FDEs and a system of linear fractional-order delay-differential 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 n-th order derivative or integral of a function...