On Solvability of a Boundary Value Problem for a Nonlocal Biharmonic Equation with a Fractional Order Boundary Operator

Usmanov K.I. Turmetov B.K. Nazarova K.Z.
November 2022 Pleiades Publishing

Lobachevskii Journal of Mathematics
2022 #43 Issue 11 3298 - 3309 pp.

Abstract: In this paper, using an orthogonal matrix in space $$R^{n}$$, the notion of a nonlocal biharmonic operator is introduced. For the corresponding nonlocal biharmonic equation, solvability of boundary value problems with fractional conformable derivatives is studied. For the considered problems, theorems on the existence and uniqueness of solutions are proved. Necessary and sufficient conditions for solvability of the studied problems are obtained and integral representations of solutions are presented.

Dirichlet problem , fractional conformable derivatives , involution , Neumann problem , nonlocal biharmonic operator , orthogonal matrix

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Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan

Khoja Akhmet Yassawi International Kazakh-Turkish University

10 лет помогаем публиковать статьи Международный издатель

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