Mittag-Leffler

Matlab File Exchange 8738. 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).


References in zbMATH (referenced in 71 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. Tuan, Nguyen Huy; Zhou, Yong; Long, Le Dinh; Can, Nguyen Huu: Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative (2020)
  3. Lischke, Anna; Kelly, James F.; Meerschaert, Mark M.: Mass-conserving tempered fractional diffusion in a bounded interval (2019)
  4. Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José: On the numerical computation of the Mittag-Leffler function (2019)
  5. Povstenko, Yuriy: Fractional thermoelasticity problem for an infinite solid with a cylindrical hole under harmonic heat flux boundary condition (2019)
  6. Xiong, Xiangtuan; Xue, Xuemin: A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation (2019)
  7. Cui, Mingrong: Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions (2018)
  8. Iyiola, O. S.; Asante-Asamani, E. O.; Wade, B. A.: A real distinct poles rational approximation of generalized Mittag-Leffler functions and their inverses: applications to fractional calculus (2018)
  9. Li, Y. S.; Wei, T.: An inverse time-dependent source problem for a time-space fractional diffusion equation (2018)
  10. Pathak, Nimisha: Lyapunov-type inequality for fractional boundary value problems with Hilfer derivative (2018)
  11. Povstenko, Yuriy; Klekot, Joanna: Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition (2018)
  12. Sowa, Marcin: Application of subival in solving initial value problems with fractional derivatives (2018)
  13. Wei, Ting; Zhang, Yun: The backward problem for a time-fractional diffusion-wave equation in a bounded domain (2018)
  14. Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice: Numerical solution of time fractional diffusion systems (2017)
  15. Ingo, Carson; Barrick, Thomas R.; Webb, Andrew G.; Ronen, Itamar: Accurate Padé global approximations for the Mittag-Leffler function, its inverse, and its partial derivatives to efficiently compute convergent power series (2017)
  16. Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R.: Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications (2017)
  17. 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)
  18. Rosenfeld, Joel A.; Dixon, Warren E.: Approximating the Caputo fractional derivative through the Mittag-Leffler reproducing kernel Hilbert space and the kernelized Adams-Bashforth-Moulton method (2017)
  19. Sowa, Marcin: Application of SubIval, a method for fractional-order derivative computations in IVPs (2017)
  20. Sun, HongGuang; Liu, Xiaoting; Zhang, Yong; Pang, Guofei; Garrard, Rhiannon: A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation (2017)

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