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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Datum:2022
Hauptverfasser: Irgashev, B. Yu., irgashev, bahrom
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/6298
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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