On one problem for restoring the density of sources of the fractional heat conductivity process with respect to initial and final temperatures

On one problem for restoring the density of sources of the fractional heat conductivity process with respect to initial and final temperatures

In this paper we consider inverse problems for a fractional heat equation, where the fractional time derivative is taken into account in Riemann-Liouville sense. For the solution of this equation, we have to find an unknown right - hand side depending only on a spatial variable. The problem modelin...

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Bibliographic Details
Main Authors: A.S. Erdogan, D. Kusmangazinova, I. Orazov, M.A. Sadybekov
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2018-09-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Inverse problem
fractional heat conductivity
not strongly regular boundary conditions
method of separation of variables
heat equation
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/208

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http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/208

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