On Solvability of Some Inverse Problems for a Fractional Parabolic Equation with a Nonlocal Biharmonic Operator
Moldir MuratbekovaDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanB. J. KadirkulovDepartment of Mathematics and Information Technologies, Tashkent State University of Oriental Studies, Tashkent 100060, UzbekistanMaira KoshanovaDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanBatirkhan TurmetovDepartment of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, Kazakhstan
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Annotatsiya
The paper considers the solvability of some inverse problems for fractional differential equations with a nonlocal biharmonic operator, which is introduced with the help of involutive transformations in two space variables. The considered problems are solved using the Fourier method. The properties of eigenfunctions and associated functions of the corresponding spectral problems are studied. Theorems on the existence and uniqueness of solutions to the studied problems are proved.
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