Initial boundary value problem for a high-order equation with two lines of degeneracy with the Caputo derivative

2023/04/26 by Irgashev, B. Yu.
#35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.13280

Abstract

In the article, in a rectangular domain, by the Fourier method, the initial boundary value problem for a high-order equation with two lines of degeneracy with a fractional derivative in the sense of Caputo is investigated for uniqueness and solvability. Sufficient conditions for the well-posedness of the problem posed are obtained.

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