Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation

Abstract

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.

Keywords

• Biharmonic equation
• fractional derivative
• Miller-Ross operator
• Neumann problem