BOUNDARY VALUE PROBLEMS FOR A LOADED FRACTIONAL ORDER DIFFUSION EQUATION WITH INVOLUTION PERTURBATION

Abdullaev O. Sobirjonov A. Turmetov B.
2025 Springer

Journal of Mathematical Sciences (United States)
2025

This work is devoted to an inverse and direct problems with the Dirichlet boundary condition for a loaded fractional-order diffusion equation with involution perturbation. The existence and uniqueness theorem of solutions to the formulated problem is proved. The solution is obtained in the form of a series expansion using a set of appropriate orthogonal bases. The convergence of the obtained solution is also proved. The necessary classes of given functions are identified to ensure the existence and uniqueness of a solution to the inverse and direct problems with Dirichlet boundary conditions.

Existence of solution , Inverse and direct problems , Involution perturbation , Loaded fractional-order diffusion equation , Orthogonal basis , Series expansion , Uniqueness of solution

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Alfraganus University, Tashkent, Uzbekistan
V.I. Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan
Akhmet Yassawi University, Turkestan, Kazakhstan

Alfraganus University
V.I. Romanovskiy Institute of Mathematics
Akhmet Yassawi University

10 лет помогаем публиковать статьи Международный издатель

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