Extension of Colombeau algebra to derivatives of arbitrary order D<sup>α</sup>, α ∈ R<inf>+</inf> ∪ {0}. Application to ODEs and PDEs with entire and fractional derivatives

Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/14325

DC Field	Value	Language
dc.contributor.author	Stojanović M.	en
dc.date.accessioned	2020-03-03T14:55:47Z	-
dc.date.available	2020-03-03T14:55:47Z	-
dc.date.issued	2009-12-01	en
dc.identifier.issn	0362546X	en
dc.identifier.uri	https://open.uns.ac.rs/handle/123456789/14325	-
dc.description.abstract	We give an extension of Colombeau algebra of generalized functions to fractional derivatives. We apply it in solving ODEs and PDEs with entire and fractional derivatives with respect to temporal and spatial variables. We give applications to ODEs and PDEs driven by fractional derivatives of delta distribution. © 2009 Elsevier Ltd. All rights reserved.	en
dc.relation.ispartof	Nonlinear Analysis, Theory, Methods and Applications	en
dc.title	Extension of Colombeau algebra to derivatives of arbitrary order D<sup>α</sup>, α ∈ R<inf>+</inf> ∪ {0}. Application to ODEs and PDEs with entire and fractional derivatives	en
dc.type	Journal/Magazine Article	en
dc.identifier.doi	10.1016/j.na.2009.04.034	en
dc.identifier.scopus	2-s2.0-68349160867	en
dc.identifier.url	https://api.elsevier.com/content/abstract/scopus_id/68349160867	en
dc.relation.lastpage	5475	en
dc.relation.firstpage	5458	en
dc.relation.issue	11	en
dc.relation.volume	71	en
item.grantfulltext	none	-
item.fulltext	No Fulltext	-
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