DIRECT AND INVERSE PROBLEMS FOR A FRACTIONAL PARABOLIC EQUATION WITH MULTIPLE INVOLUTION
Turmetov B. Koshanova M. Muratbekova M. Orazov I.
December 2024Element D.O.O.
Fractional Differential Calculus
2024#14Issue 2213 - 233 pp.
In this paper, the concept of a nonlocal analogue of the Laplace operator is introduced. For the nonlocal parabolic equation with a fractional derivative in a cylindrical domain, the solvability of direct and inverse problems is studied. The problems are solved using the Fourier method. Theorems on the existence and uniqueness of solutions to the studied problems are proved.
direct problems , Fractional parabolic equation , inverse problems , multiple involution , nonlocal Laplace operator
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Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, pr. B. Sattarkhanova, 29, Turkistan, 160200, Kazakhstan
Department of Mathematics
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