On Solvability of Some Inverse Problems for a Fractional Parabolic Equation with a Nonlocal Biharmonic Operator
Muratbekova M. Kadirkulov B. Koshanova M. Turmetov B.
May 2023MDPI
Fractal and Fractional
2023#7Issue 5
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.
eigenfunctions and associated functions , fourth order equation , fractional derivative , inverse problem , involution , nonlocal operator , parabolic equation
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Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 161200, Kazakhstan
Department of Mathematics and Information Technologies, Tashkent State University of Oriental Studies, Tashkent, 100060, Uzbekistan
Department of Mathematics
Department of Mathematics and Information Technologies
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