Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution
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| Автор |
Van Bockstal, K.
Hendy, A. S. Zaky, M. A. |
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| Тематика |
NON-AUTONOMOUS
ROTHE’S TIME DISCRETIZATION TIME FRACTIONAL WAVE EQUATION UNIQUENESS AND EXISTENCE VARIABLE COEffiCIENTS VARIABLE-ORDER |
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| Описание |
The investigation of an initial-boundary value problem for a fractional wave equation with space-dependent variable-order wherein the coefficients have a dependency on the spatial and time variables is the concern of this work. This type of variable-order fractional differential operator originates in the modelling of viscoelastic materials. The global in time existence of a unique weak solution to the model problem has been proved under appropriate conditions on the data. Rothe’s time discretization method is applied to achieve that purpose. © 2023 NISC (Pty) Ltd.
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| Дата |
2024-04-05T16:34:15Z
2024-04-05T16:34:15Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Van Bockstal, K, Hendy, A & Zaky, M 2023, 'Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution', Quaestiones Mathematicae, Том. 46, № 8, стр. 1695-1715. https://doi.org/10.2989/16073606.2022.2110959
Van Bockstal, K., Hendy, A., & Zaky, M. (2023). Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution. Quaestiones Mathematicae, 46(8), 1695-1715. https://doi.org/10.2989/16073606.2022.2110959 1607-3606 Final All Open Access, Green https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137715725&doi=10.2989%2f16073606.2022.2110959&partnerID=40&md5=c1033464c7a4af03bd21dc056d3a6248 https://biblio.ugent.be/publication/01GP0KPQRNW305VW47DXQ3TPXP/file/01GP0KYRS2VR3N1ZFPK9H6V2E8.pdf http://elar.urfu.ru/handle/10995/130847 10.2989/16073606.2022.2110959 85137715725 000849598300001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Taylor and Francis Ltd.
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| Источник |
Quaestiones Mathematicae
Quaestiones Mathematicae |
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