On a control problem for the subdiffusion equation with a fractional derivative in the sense of caputo

Yusuf Egrashevich Fayziev

Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 62-78

Résumé

In the rectangle for a differential equation of fractional order in the sense of Caputo, we study the control problem with the help of a source function. In other words, the task is to find the source function f(x;y) in such a way that, as a result, at the time t = Θ the temperature of the object under study should be distributed as a given function Ψ(x;y). Sufficient conditions are found for the function Ψ(x;y), which ensure both the existence and uniqueness of the solution to the control problem.

Détail

Keywords: fractional derivatives in the sense of Caputo, heat conduction equations, control problem.

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