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Mittag-Leffler function with matrix arguments

version 1.1.0.2 (4.89 KB) by Roberto Garrappa
Evaluate the Mittag-Leffler function with one or two parameters at square matrix arguments

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Updated 20 Oct 2020

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This MATLAB functions evaluates the Mittag-Leffler (ML) function with two parameters ALPHA and BETA at the square matrix argument A

E = ML(A,ALPHA,BETA) evaluates the ML function with two parameters ALPHA and BETA at the square matrix A argument; ALPHA must be any real and positive scalar, BETA any real scalar and A any real or complex square matrix.

E = ML(A,ALPHA) evaluates the ML function with one parameter ALPHA at the square matrix A argument; ALPHA must be any real and positive scalar and A any real or complex square matrix.

REFERENCES

[1] R. Garrappa and M. Popolizio, Computing the matrix Mittag–Leffler function with applications to fractional calculus, Journal of Scientific Computing, 2018, 17(1), 129-153 - doi: https://doi.org/10.1007/s10915-018-0699-5

[2] R. Garrappa, Numerical Evaluation of two and three parameter Mittag-Leffler functions, SIAM Journal of Numerical Analysis, 2015, 53(3), 1350-1369.

Cite As

R. Garrappa and M. Popolizio, Computing the matrix Mittag–Leffler function with applications to fractional calculus, Journal of Scientific Computing, 2018, 17(1), 129-153

MATLAB Release Compatibility
Created with R2014a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: The Mittag-Leffler function

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