On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative

The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant. The loaded term contains a fractional derivative in the Caputo sense of an order α, 2<α<3. The boundary value problem is reduced to an integro-differential equation with a differ...

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Bibliographic Details
Main Authors: M.T. Kosmakova, K.A. Izhanova, A.N. Khamzeyeva
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2022-12-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Online Access:https://mathematics-vestnik.ksu.kz/apart/2022-108-4/9.pdf