Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/14496
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kostić, Marko | en_US |
dc.contributor.author | Li C. | en_US |
dc.contributor.author | Li M. | en_US |
dc.date.accessioned | 2020-03-03T14:56:21Z | - |
dc.date.available | 2020-03-03T14:56:21Z | - |
dc.date.issued | 2012-12-27 | - |
dc.identifier.issn | 10853375 | en_US |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/14496 | - |
dc.description.abstract | This paper is devoted to the study of abstract time-fractional equations of the following form: Dtαn u(t) + =;i=1n-1 AiDtα;i u (t) = ADtαu(t) + f(t), t > 0, u(k)(0) = uk, k = 0,⋯, ⌈αn⌉ - 1, where n ε ℕ\ {1}, A and A1,⋯, An-1 are closed linear operators on a sequentially complete locally convex space E, 0 ≤ α1 ⋯ < αn, 0 ≤ α < αn, f (t) is an E -valued function, and Dtα denotes the Caputo fractional derivative of order α (Bazhlekova (2001)). We introduce and systematically analyze various classes of k -regularized (C1, C2)-existence and uniqueness (propagation) families, continuing in such a way the researches raised in (de Laubenfels (1999, 1991), Kostić (Preprint), and Xiao and Liang (2003, 2002). The obtained results are illustrated with several examples. Copyright © 2012 Marko Kostić et al. | en |
dc.relation.ispartof | Abstract and Applied Analysis | en |
dc.title | On a class of abstract time-fractional equations on locally convex spaces | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.doi | 10.1155/2012/131652 | - |
dc.identifier.scopus | 2-s2.0-84871429289 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/84871429289 | - |
dc.description.version | Unknown | en_US |
dc.relation.volume | 2012 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Fakultet tehničkih nauka, Departman za opšte discipline u tehnici | - |
crisitem.author.parentorg | Fakultet tehničkih nauka | - |
Appears in Collections: | FTN Publikacije/Publications |
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