Mittag-Leffler function with matrix arguments
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
Platform Compatibility
Windows macOS LinuxCategories
Tags
Acknowledgements
Inspired by: The Mittag-Leffler function
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.