dc.contributor.author | Shaimardan, Serikbol | |
dc.contributor.author | Persson, Lars-Erik | |
dc.contributor.author | Tokmagambetov, Nariman | |
dc.date.accessioned | 2023-08-24T08:52:38Z | |
dc.date.available | 2023-08-24T08:52:38Z | |
dc.date.issued | 2023-01-19 | |
dc.description.abstract | In 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.citation | Shaimardan, Persson, Tokmagambetov. On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus. Abstract and Applied Analysis. 2023;2023 | en_US |
dc.identifier.cristinID | FRIDAID 2127220 | |
dc.identifier.doi | 10.1155/2023/2488165 | |
dc.identifier.issn | 1085-3375 | |
dc.identifier.issn | 1687-0409 | |
dc.identifier.uri | https://hdl.handle.net/10037/30310 | |
dc.language.iso | eng | en_US |
dc.publisher | Hindawi | en_US |
dc.relation.journal | Abstract and Applied Analysis | |
dc.rights.accessRights | openAccess | en_US |
dc.rights.holder | Copyright 2023 The Author(s) | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | en_US |
dc.rights | Attribution 4.0 International (CC BY 4.0) | en_US |
dc.title | On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus | en_US |
dc.type.version | publishedVersion | en_US |
dc.type | Journal article | en_US |
dc.type | Tidsskriftartikkel | en_US |
dc.type | Peer reviewed | en_US |