2025-02-23T00:47:36-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-1877%22&qt=morelikethis&rows=5
2025-02-23T00:47:36-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-1877%22&qt=morelikethis&rows=5
2025-02-23T00:47:36-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T00:47:36-05:00 DEBUG: Deserialized SOLR response
Об аналоге формулы Коши для линейных систем произвольного дробного порядка

Об аналоге формулы Коши для линейных систем произвольного дробного порядка

Non-homogeneous linear systems of differential equations with classical Riemann-Liouville fractional derivatives, as well as regularized Caputo's fractional derivatives, are considered. Using the Laplace transform, the solutions to such systems are represented in the form of analogs of the Cauc...

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Bibliographic Details
Main Authors: Чикрий, А.А., Матичин, И.И.
Format: Article
Language:Russian
Published: Видавничий дім "Академперіодика" НАН України 2007
Subjects:
Інформатика та кібернетика
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/1877
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Summary:Non-homogeneous linear systems of differential equations with classical Riemann-Liouville fractional derivatives, as well as regularized Caputo's fractional derivatives, are considered. Using the Laplace transform, the solutions to such systems are represented in the form of analogs of the Cauchy formula for arbitrary measurable and bounded functions of time on the right-hand side. These relations play a key role in solving the related problems of mathematical control theory and the theory of dynamic games.

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