Geodesic
Boundary value problems for a first order
Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 4, pp. 403-416

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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.
Keywords: partial differential equation, fractional order equation, fractional integro-differentiation operator, Dzhrbashyan — Nersesyan operator. 
@article{CHFMJ_2021_6_4_a1,
     author = {F.T. Bogatyreva},
     title = {Boundary value problems for a first order},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {403--416},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_4_a1/}
}
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F.T. Bogatyreva. Boundary value problems for a first order. Čelâbinskij fiziko-matematičeskij žurnal, Tome 6 (2021) no. 4, pp. 403-416. http://geodesic.mathdoc.fr/item/CHFMJ_2021_6_4_a1/