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Mittag-Leffler pattern in anomalous diffusion

2013
book section
conference proceedings
10.1007/978-3-319-00933-9_12
Author
Dybiec Bartłomiej
Editor
Mitkowski Wojciech

Kacprzyk Janusz

Baranowski Jerzy
publisher
ChamHeidelbergNew YorkDordrechtLondon : Springer
Book title / Journal title
Advances in the theory and applications of non-integer order systems : 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland
Pages
141-146
ISBN
978-3-319-00932-2
eISBN
978-3-319-00933-9
Series
Lecture Notes in Electrical Engineering
Serie's ISSN
1876-1100
Serie's eISSN
1876-1119
Number of serie
257
Keywords in English

bi-fractional Fokker-Planck-Smoluchowski equation

Mittag-Leffler function

anomalous diffusion

Language
English
Book language / Journal language
English
Abstract in English

Various systems described by the bi-fractional Fokker-Planck-Smoluchowski equation display some very general and universal properties. These universal characteristics originate in the underlying competition between long jumps (fractional space derivative) and long waiting times (fractional time derivative). Using a few selected model examples the universal features of anomalous diffusion will be demonstrated.

Conference
5th Conference on Non-integer Order Calculus and Its Applications
Conference start date
2013-07-04
End date conference
2013-07-05
Conference city
Kraków
Conference country
Polska
Conference type
international
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
cris.lastimport.wos2024-04-09T22:15:21Z
dc.abstract.enVarious systems described by the bi-fractional Fokker-Planck-Smoluchowski equation display some very general and universal properties. These universal characteristics originate in the underlying competition between long jumps (fractional space derivative) and long waiting times (fractional time derivative). Using a few selected model examples the universal features of anomalous diffusion will be demonstrated.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.conference5th Conference on Non-integer Order Calculus and Its Applicationspl
dc.conference.cityKraków
dc.conference.countryPolska
dc.conference.datefinish2013-07-05
dc.conference.datestart2013-07-04
dc.conference.indexscopustrue
dc.conference.indexwostrue
dc.contributor.authorDybiec, Bartłomiej - 102110 pl
dc.contributor.editorMitkowski, Wojciechpl
dc.contributor.editorKacprzyk, Januszpl
dc.contributor.editorBaranowski, Jerzypl
dc.date.accessioned2015-07-02T07:46:17Z
dc.date.available2015-07-02T07:46:17Z
dc.date.issued2013pl
dc.description.conftypeinternationalpl
dc.description.physical141-146pl
dc.description.publication0,5pl
dc.description.seriesLecture Notes in Electrical Engineering
dc.description.seriesnumber257
dc.identifier.doi10.1007/978-3-319-00933-9_12pl
dc.identifier.eisbn978-3-319-00933-9pl
dc.identifier.isbn978-3-319-00932-2pl
dc.identifier.serieseissn1876-1119
dc.identifier.seriesissn1876-1100
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/11114
dc.languageengpl
dc.language.containerengpl
dc.pubinfoChampl
dc.pubinfoHeidelbergpl
dc.pubinfoNew Yorkpl
dc.pubinfoDordrechtpl
dc.pubinfoLondon : Springerpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licencebez licencji
dc.rights.uri*
dc.subject.enbi-fractional Fokker-Planck-Smoluchowski equationpl
dc.subject.enMittag-Leffler functionpl
dc.subject.enanomalous diffusionpl
dc.subtypeConferenceProceedingspl
dc.titleMittag-Leffler pattern in anomalous diffusionpl
dc.title.containerAdvances in the theory and applications of non-integer order systems : 5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Polandpl
dc.typeBookSectionpl
dspace.entity.typePublication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Dybiec, Bartłomiej
No affiliation
Mitkowski, Wojciech
Kacprzyk, Janusz
Baranowski, Jerzy

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