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.

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  1. Ajeel, M. Shareef; Gachpazan, M.; Soheili, Ali R.: Sinc-Muntz-Legendre collocation method for solving a class of nonlinear fractional partial differential equations (2021)
  2. Fan, Bin; Azaïez, Mejdi; Xu, Chuanju: An extension of the Landweber regularization for a backward time fractional wave problem (2021)
  3. Iqbal, Sajad; Wei, Yujie: Recovery of the time-dependent implied volatility of time fractional Black-Scholes equation using linearization technique (2021)
  4. Luc, Nguyen Hoang; Baleanu, Dumitru; Agarwal, Ravi P.; Long, Le Dinh: Identifying the source function for time fractional diffusion with non-local in time conditions (2021)
  5. McLean, William: Numerical evaluation of Mittag-Leffler functions (2021)
  6. Yang, Fan; Fu, Jun-Liang; Fan, Ping; Li, Xiao-Xiao: Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem (2021)
  7. Yang, Shuping; Xiong, Xiangtuan; Nie, Yan: Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation (2021)
  8. Gorenflo, Rudolf; Kilbas, Anatoly A.; Mainardi, Francesco; Rogosin, Sergei V.: Mittag-Leffler functions, related topics and applications (2020)
  9. Kovács, Mihály; Larsson, Stig; Saedpanah, Fardin: Mittag-Leffler Euler integrator for a stochastic fractional order equation with additive noise (2020)
  10. Qu, Haidong; She, Zihang; Liu, Xuan: Homotopy analysis method for three types of fractional partial differential equations (2020)
  11. Shokri, Ali; Mirzaei, Soheila: A pseudo-spectral based method for time-fractional advection-diffusion equation (2020)
  12. Tuan, Nguyen Huy; Zhou, Yong; Long, Le Dinh; Can, Nguyen Huu: Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative (2020)
  13. Gong, Xuhong; Wei, Ting: Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation (2019)
  14. Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin: A fractional Landweber method for solving backward time-fractional diffusion problem (2019)
  15. Povstenko, Yuriy: Fractional thermoelasticity problem for an infinite solid with a cylindrical hole under harmonic heat flux boundary condition (2019)
  16. Xiong, Xiangtuan; Xue, Xuemin: A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation (2019)
  17. 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)
  18. Li, Y. S.; Wei, T.: An inverse time-dependent source problem for a time-space fractional diffusion equation (2018)
  19. Pathak, Nimisha: Lyapunov-type inequality for fractional boundary value problems with Hilfer derivative (2018)
  20. Wei, Ting; Zhang, Yun: The backward problem for a time-fractional diffusion-wave equation in a bounded domain (2018)

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