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 77 articles )

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  1. Yang, Shuping; Xiong, Xiangtuan; Nie, Yan: Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation (2021)
  2. Bulavatsky, V. M.; Bohaienko, V. O.: Some consolidation dynamics problems within the framework of the biparabolic mathematical model and its fractional-differential analog (2020)
  3. Kovács, Mihály; Larsson, Stig; Saedpanah, Fardin: Mittag-Leffler Euler integrator for a stochastic fractional order equation with additive noise (2020)
  4. Qu, Haidong; She, Zihang; Liu, Xuan: Homotopy analysis method for three types of fractional partial differential equations (2020)
  5. Tuan, Nguyen Huy; Zhou, Yong; Long, Le Dinh; Can, Nguyen Huu: Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative (2020)
  6. Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin: A fractional Landweber method for solving backward time-fractional diffusion problem (2019)
  7. Lischke, Anna; Kelly, James F.; Meerschaert, Mark M.: Mass-conserving tempered fractional diffusion in a bounded interval (2019)
  8. Ortigueira, Manuel D.; Lopes, António M.; Tenreiro Machado, José: On the numerical computation of the Mittag-Leffler function (2019)
  9. Povstenko, Yuriy: Fractional thermoelasticity problem for an infinite solid with a cylindrical hole under harmonic heat flux boundary condition (2019)
  10. Xiong, Xiangtuan; Xue, Xuemin: A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation (2019)
  11. Cui, Mingrong: Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions (2018)
  12. 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)
  13. Li, Y. S.; Wei, T.: An inverse time-dependent source problem for a time-space fractional diffusion equation (2018)
  14. Pathak, Nimisha: Lyapunov-type inequality for fractional boundary value problems with Hilfer derivative (2018)
  15. Povstenko, Yuriy; Klekot, Joanna: Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition (2018)
  16. Sowa, Marcin: Application of subival in solving initial value problems with fractional derivatives (2018)
  17. Wei, Ting; Zhang, Yun: The backward problem for a time-fractional diffusion-wave equation in a bounded domain (2018)
  18. Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice: Numerical solution of time fractional diffusion systems (2017)
  19. 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)
  20. Khosravian-Arab, Hassan; Dehghan, Mehdi; Eslahchi, M. R.: Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications (2017)

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