On the solvability of the first boundary value problem for the loaded equation of heat conduction

In this paper we consider the first boundary value problem for the loaded equation of heat conduction in a quarter plane. The loaded term is the trace of the fractional derivative of order ν, 0 ≤ ν ≤ 1 with respect to the time variable on the line x = t. It is shown that when 0 ≤ ν ≤ 1 and ∀λ ∈C, t...

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Bibliographic Details
Main Authors: M.T. Jenaliyev, S.A. Iskakov, M.I. Ramazanov, Zh.M. Tuleutaeva
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2018-03-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
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Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/207