Afonso,

did you check the reference

H. Seybold and R. Hilfer, Numerical algorithm for calculating the generalized Mittag-Leffler function?

Enrique.

Thanks, Enrique. Yes, I know the work by Seybold and Hilfer. However, their calculation of the inverse Mittag-Leffler function involves the numerical solution of a non-linear equation (let's say by bisection, Newton, or any similar methods). I need to embed the inverse Mittag-Leffler calculations within an optimisation algorithm and process a massive amount of data, for which the mentioned approach would be terribly inefficient.

Pablo, thanks for the reference too. However, their series only converges when 0

Hi Alfonso,

try this mathematica command:

Solve[MittagLefflerE[0.7, x] == 9, x]

it seems to work

{{x -> 1.54163}}

Thanks for the suggestion, Yuri!

Maybe this paper could be useful!

http://arxiv.org/pdf/1503.06569.pdf

Thanks a lot, Enrique. Actually I'm currently using Roberto's code (available in Matlab FileExchange), particularised and vectorised for calculations on the real axis.

plz help me sir,

I have to fit data using Mittag Leffler function in Matlab