Geodesic
Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation
Electronic journal of differential equations, Tome 2015 (2015)
In this article we study the solvability of some boundary value problems for inhomogenous biharmobic equations. As a boundary operator we consider the differentiation operator of fractional order in the Miller-Ross sense. This problem is a generalization of the well known Neumann problems.
Classification : 35J15, 35J25, 34B10, 26A33, 31A05, 31B05
Keywords: biharmonic equation, fractional derivative, Miller-ross operator, Neumann problem 
@article{EJDE_2015__2015__a50,
     author = {Turmetov,  Batirkhan Kh.},
     title = {Solvability of fractional analogues of the {Neumann} problem for a nonhomogeneous biharmonic equation},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1315.35079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a50/}
}
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VL  - 2015
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%A Turmetov,  Batirkhan Kh.
%T Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation
%J Electronic journal of differential equations
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%U http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a50/
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%F EJDE_2015__2015__a50
Turmetov,  Batirkhan Kh. Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a50/