Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (6): 1695-1706.doi: 10.1016/S0252-9602(14)60115-6

• Articles • Previous Articles     Next Articles

ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY

 A.S. BERDYSHEV, A. CABADA, B.Kh. TURMETOV   

  1. Department of Applied Mathematics and Informatics, Kazakh National Pedagogical University named after Abai, Almaty, Kazakhstan; Departmento de Analise Matematica, Facultade de Matematicas, University of Santiago de Compostela, Santiago de Compostela, Spain; Khoja Ahmet Yasawi International Kazakh-Turkish University, Kazakhstan
  • Received:2013-09-13 Revised:2014-05-03 Online:2014-11-20 Published:2014-11-20
  • Supported by:

    The research of A.Cabada was partially supported by Ministerio de Ciencia e Innovacion-SPAIN, and FEDER, project MTM2010-15314 and research of A.S. Berdyshev and B.Kh. Turmetov was supported by the Ministry of Science and Education of the Republic of Kazakhstan through the Project No. 0713 GF.

Abstract:

This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense. The considered problem is a generalization of the known Dirichlet and Neumann problems.

Key words: biharmonic equation, boundary value problem, fractional derivative, the Riemann-Liouville operator

CLC Number: 

  • 31A30
Trendmd