This article is cited in 2 papers

Third Boundary-Value Problem in the Half-Strip for the $B$-Parabolic Equation

F. G. Khushtova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: The third boundary-value problem in the half-strip for a partial differential equation with Bessel operator is studied. Existence and uniqueness theorems are proved. The representation of the solution is found in terms of the Laplace convolution of the exponential function and Mittag-Leffler type function with power multipliers. Uniqueness is proved for the class of bounded functions.

Keywords: Bessel operator, anomalous diffusion, $B$-parabolic equation, Mittag-Leffler type function, third boundary-value problem.

UDC: 517.95

Received: 09.12.2019
Revised: 12.08.2020

DOI: 10.4213/mzm12629

 English version: Mathematical Notes, 2021, 109:2, 292–301

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