Fractional diffusion equation degenerating on the initial hyperplane

UDC 517.9 We consider a fractional extension of the parabolic equation degenerating on the initial hyperplane. In this case, we construct and investigate a fundamental solution of the Cauchy problem, as well as the solution of the nonhomogeneous equation.

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Bibliographic Details
Date:2021
Main Authors: Ponomarenko , A. M., Пономаренко, А. М.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6320
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal