On the Laplace Integral Representation of Multivariate Mittag-Leffler Functions in Anomalous Relaxation
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
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. Copyright (C) 2016 JohnWiley & Sons, Ltd.
Description
Khamzin, Airat/0000-0001-9741-4346
ORCID
Keywords
Mittag-Leffler Functions, Generalized Multiplication Efros Theorem, Anomalous Dielectric Relaxation, Fractional Kinetics, Laplace Transform, 690, anomalous dielectric relaxation, fractional kinetics, 540, subclass 65Z05, 33F05, laplace transform, generalized multiplication efros theorem, Mittag-Leffler functions, Laplace transform, Mittag-Leffler functions and generalizations, Fractional derivatives and integrals, Electromagnetic theory (general), Transform methods (e.g., integral transforms) applied to PDEs, generalized multiplication Efros theorem, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
13
Source
Mathematical Methods in the Applied Sciences
Volume
39
Issue
11
Start Page
2983
End Page
2992
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CrossRef : 13
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14
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14
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1
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