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This article is cited in 19 scientific papers (total in 19 papers)
On Smoothness of a Solution to a Boundary Value Problem with Fractional Order Boundary Operator
B. K. Turmetov Tashkent State Aviation Institute
Abstract:
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.
Key words:
boundary value problem, smoothness of a solution, fractional-order derivative.
Received: 08.08.2003
Citation:
B. K. Turmetov, “On Smoothness of a Solution to a Boundary Value Problem with Fractional Order Boundary Operator”, Mat. Tr., 7:1 (2004), 189–199; Siberian Adv. Math., 15:2 (2005), 115–125
Linking options:
https://www.mathnet.ru/eng/mt74 https://www.mathnet.ru/eng/mt/v7/i1/p189
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Abstract page: | 972 | Full-text PDF : | 192 | References: | 121 | First page: | 1 |
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