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On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation

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Date

2016

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Wiley-Blackwell

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Abstract

In the given paper, a special method of representation of the Mittag-Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested. The method is based on the usage of the generalized multiplication Efros theorem. The possibilities of a new method are demonstrated on derivation of the integral representations for relaxation functions used in the anomalous dielectric relaxation in time domain.

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Mittag-Leffler Functions, Generalized Multiplication Efros Theorem, Anomalous Dielectric Relaxation, Fractional Kinetics, Laplace Transform

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Citation

Nigmatullin, R.R., Khamzin, A.A., Baleanu, D. (2016). On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation. Mathematical Methods In The Applied Sciences, 39(11), 2983-2992. http://dx.doi.org/10.1002/mma.3746

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Mathematical Methods In The Applied Sciences

Volume

39

Issue

11

Start Page

2983

End Page

2992