On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator
Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 155-170
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In this paper we study the solvability of one boundary value problem for an inhomogeneous polyharmonic equation. As a boundary operator, we consider a differentiation operator of fractional order in the Hadamard sense. The considered problem is a generalization of the known Neumann problem.
Keywords:
fractional derivative, Neumann problems, Hadamard operators.
Mots-clés : polyharmonic equation
Mots-clés : polyharmonic equation
@article{UFA_2016_8_3_a13,
author = {B. Kh. Turmetov},
title = {On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator},
journal = {Ufa mathematical journal},
pages = {155--170},
publisher = {mathdoc},
volume = {8},
number = {3},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/}
}
TY - JOUR AU - B. Kh. Turmetov TI - On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator JO - Ufa mathematical journal PY - 2016 SP - 155 EP - 170 VL - 8 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/ LA - en ID - UFA_2016_8_3_a13 ER -
%0 Journal Article %A B. Kh. Turmetov %T On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator %J Ufa mathematical journal %D 2016 %P 155-170 %V 8 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/ %G en %F UFA_2016_8_3_a13
B. Kh. Turmetov. On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator. Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 155-170. http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/