KFU. Card publication. On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

ON THE LAPLACE INTEGRAL REPRESENTATION OF MULTIVARIATE MITTAG-LEFFLER FUNCTIONS IN ANOMALOUS RELAXATION

Form of presentation

Articles in international journals and collections

Year of publication

2016

��

��

Authors, employees of KFU

Khamzin Ayrat Albertovich, author

Bibliographic description in the original language

Nigmatullin R.R, Khamzin A.A, Baleanu D., On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation//Mathematical Methods in the Applied Sciences. - 2016. - Vol.39, Is..2983 -2992 .

Annotation

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.

Keywords

Mittag-Leffler functions, generalized multiplication efros theorem, anomalous dielectric relaxation, fractional kinetics, laplace transform

The name of the journal

Mathematical Methods in the Applied Sciences

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84954288671&partnerID=40&md5=48c03db9e26beb92e4978f797603b3ca

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=137955&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Khamzin Ayrat Albertovich	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Nigmatullin R.R, Khamzin A.A, Baleanu D., On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation//Mathematical Methods in the Applied Sciences. - 2016. - Vol.39, Is..2983 -2992 .	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=137955&p_lang=2	ru_RU
dc.description.abstract	Mathematical Methods in the Applied Sciences	ru_RU
dc.description.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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Mittag-Leffler functions	ru_RU
dc.subject	generalized multiplication efros theorem	ru_RU
dc.subject	anomalous dielectric relaxation	ru_RU
dc.subject	fractional kinetics	ru_RU
dc.subject	laplace transform	ru_RU
dc.title	On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation	ru_RU
dc.type	Articles in international journals and collections	ru_RU