mlf

Mittag-Leffler function. This is a MATLAB routine for evaluating the Mittag-Leffler function with two parameters (sometimes also called generalized exponential function). The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential equations containing fractional derivatives). USAGE: MLF(alpha,beta,Z,P) is the Mittag-Leffler function E_{alpha,beta}(Z) evaluated with accuracy 10^(-P) for each element of Z.


References in zbMATH (referenced in 11 articles )

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  1. Kovács, Mihály; Larsson, Stig; Saedpanah, Fardin: Mittag-Leffler Euler integrator for a stochastic fractional order equation with additive noise (2020)
  2. Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice: Numerical solution of time fractional diffusion systems (2017)
  3. Li, Zhuo; Liu, Lu; Dehghan, Sina; Chen, Yangquan; Xue, Dingyü: A review and evaluation of numerical tools for fractional calculus and fractional order controls (2017)
  4. Sowa, Marcin: Application of SubIval, a method for fractional-order derivative computations in IVPs (2017)
  5. Garrappa, Roberto; Mainardi, Francesco; Guido, Maione: Models of dielectric relaxation based on completely monotone functions (2016)
  6. Garrappa, Roberto; Popolizio, Marina: Exponential quadrature rules for linear fractional differential equations (2015)
  7. Guo, Gang; Bittig, Arne; Uhrmacher, Adelinde: Lattice Monte Carlo simulation of Galilei variant anomalous diffusion (2015)
  8. Mainardi, Francesco; Garrappa, Roberto: On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics (2015)
  9. Esmaeili, Shahrokh; Milovanović, Gradimir: Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives (2014)
  10. Garrappa, Roberto; Popolizio, Marina: Evaluation of generalized Mittag-Leffler functions on the real line (2013)
  11. Garrappa, Roberto; Popolizio, Marina: On accurate product integration rules for linear fractional differential equations (2011)