On a generalization of the Neumann problem for the Laplace equation

B. Turmetov and K. Nazarova

Mathematische Nachrichten, 2020, vol. 293, issue 1, 169-177

Abstract: We investigate solvability of a fractional analogue of the Neumann problem for the Laplace equation. As a boundary operator we consider operators of fractional differentiation in the Hadamard sense. The problem is solved by reduction to an integral Fredholm equation. A theorem on existence and uniqueness of the problem solution is proved.

Date: 2020
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https://doi.org/10.1002/mana.201800219

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