ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER

doi:10.1016/S0252-9602(16)30043-1

Abstract

Abstract:

In the paper we study questions about solvability of some boundary value problems for a non-homogenous poly-harmonic equation. As a boundary operator we consider differentiation operator of fractional order in Miller-Ross sense. The considered problem is a generalization of well-known Dirichlet and Neumann problems.

Key words: polyharmonic equation, boundary value problem, Dirichlet problem, Neumann problem, fractional derivative, Miller-Ross operator

CLC Number:

35J48

Batirkhan TURMETOV. ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER[J].Acta mathematica scientia,Series B, 2016, 36(3): 831-846.

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