Boundary value problems for a first order

F.T. Bogatyreva

Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 4, pp. 403-416.

Résumé

For a first order partial differential equation with the Dzhrbashyan — Nersesyan fractional differentiation operators, a fundamental solution is constructed and a general representation of the solution in a rectangular domain is found. It is shown that the distribution of the parameters of the Dzhrbashyan — Nersesyan operators affects the formulation of problems, namely, the effect of freeing a part of the boundary from the boundary conditions is revealed.

Détail

Keywords: partial differential equation, fractional order equation, fractional integro-differentiation operator, Dzhrbashyan — Nersesyan operator.

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