Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group

dc.contributor.author	Kirane, Mokhtar
dc.contributor.author	Aimene, Djihad
dc.contributor.author	Seba, Djamila
dc.date.accessioned	2021-06-15T09:51:52Z
dc.date.available	2021-06-15T09:51:52Z
dc.date.issued	2021
dc.description.abstract	This paper is a development of the results and techniques of the two papers (Carvalho-Neto and Planas in J Differ Equ 259:2948–2980, 2015; Oka in J Math Anal Appl 473:382–407, 2019) for the aim of addressing the existence and uniqueness of local and global mild solutions, on the Heisenberg group Hd, of the time-fractional Navier–Stokes system with time derivative of order α∈ (0 , 1). The proof relies on Schaefer’s fixed point theorem. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.	en_US
dc.identifier.issn	00442275
dc.identifier.uri	https://link.springer.com/article/10.1007/s00033-021-01499-6
dc.identifier.uri	https://dspace.univ-boumerdes.dz/handle/123456789/7013
dc.language.iso	en	en_US
dc.publisher	Birkhauser	en_US
dc.relation.ispartofseries	Zeitschrift fur Angewandte Mathematik und Physik, 72(3), art. no. 116.;
dc.subject	Global solution	en_US
dc.subject	Navier–Stokes equations	en_US
dc.subject	Heisenberg group	en_US
dc.subject	Fractional time derivative	en_US
dc.title	Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group	en_US
dc.type	Article	en_US

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