On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus

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dc.contributor.authorShaimardan, S.
dc.contributor.authorPersson, Lars-Erik
dc.contributor.authorTokmagambetov, N.
dc.date.accessioned2024-01-10T08:02:02Z
dc.date.available2024-01-10T08:02:02Z
dc.date.issued2023
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.ru_RU
dc.identifier.citationShaimardan S. On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus/S.Shaimardan, Lars-Erik Persson, N. Tokmagambetov//Abstract and Applied Analysis - 2023 - №8ru_RU
dc.identifier.urihttps://rep.buketov.edu.kz//handle/data/17456
dc.language.isoenru_RU
dc.publisherAbstract and Applied Analysisru_RU
dc.relation.ispartofseriesAbstract and Applied Analysis;№8
dc.titleOn the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculusru_RU
dc.typeArticleru_RU

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