Vis enkel innførsel

dc.contributor.authorShaimardan, Serikbol
dc.contributor.authorPersson, Lars-Erik
dc.contributor.authorTokmagambetov, Nariman
dc.date.accessioned2023-08-24T08:52:38Z
dc.date.available2023-08-24T08:52:38Z
dc.date.issued2023-01-19
dc.description.abstractIn this paper, we explore a generalised solution of the Cauchy problems for the q-heat and q-wave equations which are generated by Jackson’s and the q-Sturm-Liouville operators with respect to t and x, respectively. For this, we use a new method, where a crucial tool is used to represent functions in the Fourier series expansions in a Hilbert space on quantum calculus. We show that these solutions can be represented by explicit formulas generated by the q-Mittag-Leffler function. Moreover, we prove the unique existence and stability of the weak solutions.en_US
dc.identifier.citationShaimardan, Persson, Tokmagambetov. On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus. Abstract and Applied Analysis. 2023;2023en_US
dc.identifier.cristinIDFRIDAID 2127220
dc.identifier.doi10.1155/2023/2488165
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.urihttps://hdl.handle.net/10037/30310
dc.language.isoengen_US
dc.publisherHindawien_US
dc.relation.journalAbstract and Applied Analysis
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleOn the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculusen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


Tilhørende fil(er)

Thumbnail

Denne innførselen finnes i følgende samling(er)

Vis enkel innførsel

Attribution 4.0 International (CC BY 4.0)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)