Academic Journal
Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution
| العنوان: | Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution |
|---|---|
| المؤلفون: | Van Bockstal, K., Hendy, A. S., Zaky, M. A. |
| المصدر: | Quaestiones Mathematicae |
| بيانات النشر: | Taylor and Francis Ltd. |
| سنة النشر: | 2023 |
| المجموعة: | Ural Federal University (URFU): ELAR / Уральский федеральный университет: электронный архив УрФУ |
| مصطلحات موضوعية: | NON-AUTONOMOUS, ROTHE’S TIME DISCRETIZATION, TIME FRACTIONAL WAVE EQUATION, UNIQUENESS AND EXISTENCE, VARIABLE COEffiCIENTS, VARIABLE-ORDER |
| الوصف: | 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. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1607-3606 |
| Relation: | 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; 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; 85137715725; 000849598300001 |
| DOI: | 10.2989/16073606.2022.2110959 |
| الاتاحة: | http://elar.urfu.ru/handle/10995/130847 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 https://doi.org/10.2989/16073606.2022.2110959 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.59DD7939 |
| قاعدة البيانات: | BASE |
| تدمد: | 16073606 |
|---|---|
| DOI: | 10.2989/16073606.2022.2110959 |