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Author Country (or Countries)

Russia

Abstract

In this paper, we solve the Dirichlet problem for a linear second-order partial differential equation with the Riemann- Liouville fractional derivative. When the order of fractional differentiation is an integer, the equation under consideration transforms into a mixed equation of the Lavrent’ev-Bitsadze type. Existence theorem is proved using the Fourier method and methods of special functions theory.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/060307

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