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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Keywords
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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Source
Mathematical Methods In The Applied Sciences
Volume
39
Issue
11
Start Page
2983
End Page
2992