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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018 Number 3(23), Pages 57–66 (Mi vkam255)

FRACTIONAL CALCULUS AND ITS APPLICATION

A problem in the half-strip for higher order parabolic equation with time fractional Riemann-Liouville derivative

L. L. Karasheva

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, Russia

Abstract: We construct a representation of the solution for higher order parabolic equation with time fractional derivative in the half-strip and prove uniqueness theorem in the class of fast-growing functions.

Keywords: Riemann-Liouville fractional derivative, higher order parabolic equation,  problem in the half-strip.

UDC: 517.95

MSC: 35K25

Received: 08.06.2018

DOI: 10.18454/2079-6641-2018-23-3-57-66



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