КФУ. Карточка публикации. On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation

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

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2016

Язык

английский

Авторы, сотрудники КФУ

Хамзин Айрат Альбертович, автор

Библиографическое описание на языке оригинала

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 .

Аннотация

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.

Ключевые слова

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

Название журнала

Mathematical Methods in the Applied Sciences

URL

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

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https://repository.kpfu.ru/?p_id=137955

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Хамзин Айрат Альбертович	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/?p_id=137955	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	Статьи в зарубежных журналах и сборниках	ru_RU