Mittag-Leffler function with matrix arguments

版本 1.1.0.2 (4.9 KB) 作者: Roberto Garrappa

Evaluate the Mittag-Leffler function with one or two parameters at square matrix arguments

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更新时间 2020/10/20

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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.

引用格式

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