Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (3): 831-846.doi: 10.1016/S0252-9602(16)30043-1

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

Batirkhan TURMETOV1,2   

  1. 1. Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science Republic of Kazakhstan, 050010, Almaty, Kazakhistan;
    2. Department of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, 161200, Turkistan, Kazakhistan
  • Received:2015-03-10 Revised:2015-11-19 Online:2016-06-25 Published:2016-06-25
  • Supported by:

    This research is financially supported by a grant from the Ministry of Science and Education of the Republic of Kazakhstan (0819/GF4).

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
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