Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces

Publication:

Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces

datacite.subject.fos	oecd::Engineering and technology
dc.contributor.author	Nguyen Huy Tuan
dc.contributor.author	Vo Van Au
dc.contributor.author	Anh Tuan Nguyen
dc.date.accessioned	2022-10-25T04:13:14Z
dc.date.available	2022-10-25T04:13:14Z
dc.date.issued	2022
dc.description.abstract	"In this paper, we aim to study a time-fractional Cauchy problem for a heat equation with a nonlocal nonlinearity driven by simulation problems arising in populations, and biological mathematics. Using the Banach fixed-point argument, we investigate the existence and uniqueness of mild solutions in Besov spaces defined on an open subset of RN. The key tools of our method are some linear estimates of the heat semigroup generated by the Dirichlet Laplacian and techniques of the M-Wright function. Some embeddings are also used for our proofs."
dc.identifier.doi	10.1007/s00013-022-01702-8
dc.identifier.uri	http://repository.vlu.edu.vn:443/handle/123456789/303
dc.language.iso	en_US
dc.relation.ispartof	Archiv der Mathematik
dc.relation.issn	0003-889X
dc.relation.issn	1420-8938
dc.subject	"Time-fractional Cauchy problem
dc.subject	Nonlocal nonlinearity
dc.subject	Wellposedness
dc.subject	Besov spaces."
dc.title	Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces
dc.type	journal-article
dspace.entity.type	Publication
oaire.citation.issue	3
oaire.citation.volume	118

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