Mixed problem for higher-order equations with fractional derivative and degeneration in both variables

UDC 517.9 We consider an initial-boundary-value problem for a higher-order equation with fractional Riemann – Liouville derivative in a rectangular domain degenerating in both variables. The solution to the problem is constructed in the explicit form by the method of separation of...

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Bibliographic Details
Date:2022
Main Authors: Irgashev, B. Yu., irgashev, bahrom
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6298
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:UDC 517.9 We consider an initial-boundary-value problem for a higher-order equation with fractional Riemann – Liouville derivative in a rectangular domain degenerating in both variables. The solution to the problem is constructed in the explicit form by the method of separation of variables. Uniqueness is proved by the spectral method.
DOI:10.37863/umzh.v74i10.6298