Geodesic
On Smoothness of a~Solution to a~Boundary Value Problem with Fractional Order Boundary Operator
Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 189-199

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We study a boundary value problem for the Laplace equation with a fractional derivative in the boundary condition. We prove the theorem of smoothness of a solution in the Nikol'skiĭ classes. 
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     author = {B. K. Turmetov},
     title = {On {Smoothness} of {a~Solution} to {a~Boundary} {Value} {Problem} with {Fractional} {Order} {Boundary} {Operator}},
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B. K. Turmetov. On Smoothness of a~Solution to a~Boundary Value Problem with Fractional Order Boundary Operator. Matematičeskie trudy, Tome 7 (2004) no. 1, pp. 189-199. http://geodesic.mathdoc.fr/item/MT_2004_7_1_a6/