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ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER |
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| Authors: | ASBERDYSHEV ;ACABADA ;BKhTURMETOV |
| Institution: | [1]Department of Applied Mathematics and Informatics, Kazakh National Pedagogical University named after Abai, Almaty, Kazakhstan; [2]Departmento de Analise Matematica, Facultade de Matematicas, University of Santiago de Compostela, Santiago de Compostela, Spain; [3]Khoja Ahmet Yasawi International Kazakh-Turkish University, Kazakhstan |
| 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. |
| Keywords: | biharmonic equation boundary value problem fractional derivative the RiemannLiouville operator |
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