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Reports of AIAS, 2020 Volume 20, Issue 2, Pages 6–11 (Mi aman17)

This article is cited in 2 papers

MATHEMATICS

Representation of solution for first-order partial differential equation with Dzhrbashyan - Nersesyan operator of fractional differentiation

F.T. Bogatyreva

Institute of Applied Mathematics and Automation, Nalchik

Abstract: For a first-order partial differential equation with the Dzhrbashyan – Nersesyan operator of fractional differentiation, we construct a fundamental solution and derive a general representation of the solutions in rectangular domains.

Keywords: Partial differential equation, Dzhrbashyan – Nersesyan operator, Wright \linebreak function.

UDC: 517.95

DOI: 10.47928/1726-9946-2020-20-2-6-11



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