Geodesic
Uniqueness of the Solution of the Dirichlet Problem for a Multidimensional Differential Equation of Fractional Order
Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 101-106

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A partial differential equation of fractional order with an arbitrary number of independent variables is studied. For integer orders of fractional derivatives, the equation under consideration becomes a second-order linear elliptic equation with Laplace operator in the principal part. The Dirichlet problem in a multidimensional domain is considered. The extremum principle for the equation under study and the uniqueness of the solution of the problem under consideration in a bounded or an unbounded domain are proved.
Keywords: conditionally elliptic equations, Riemann–Liouville fractional derivative, Dirichlet problem. 
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     author = {O. Kh. Masaeva},
     title = {Uniqueness of the {Solution} of the {Dirichlet} {Problem} for a {Multidimensional} {Differential} {Equation} of {Fractional} {Order}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a8/}
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O. Kh. Masaeva. Uniqueness of the Solution of the Dirichlet Problem for a Multidimensional Differential Equation of Fractional Order. Matematičeskie zametki, Tome 109 (2021) no. 1, pp. 101-106. http://geodesic.mathdoc.fr/item/MZM_2021_109_1_a8/