FRACTIONAL DIFFERENTIATION OPERATION IN THE FOURIER BOUNDARY PROBLEMS

FRACTIONAL DIFFERENTIATION OPERATION IN THE FOURIER BOUNDARY PROBLEMS

We use the algebra of unbounded differentiation operators t acting on the ring of differentiable functions. The analytical representation of the fractional degree of the operator t is used to construct the resolvents of three boundary problems for the Fourier equation. Periodic solutions of limiting...

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Bibliographic Details
Main Authors: Petrichenko Mikhail, Musorina Tatiana
Format: Article
Language:English
Published: Peter the Great St.Petersburg Polytechnic University 2020-06-01
Series:St. Petersburg Polytechnical University Journal: Physics and Mathematics
Subjects:
differential equation
abel–liouville formula
ring of operators
inverse operator
carrier
distribution
Online Access:https://physmath.spbstu.ru/article/2020.48.04/

Internet

https://physmath.spbstu.ru/article/2020.48.04/

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