Geodesic
On a control problem for the subdiffusion equation with a fractional derivative in the sense of caputo
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 62-78

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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.
Keywords: fractional derivatives in the sense of Caputo, heat conduction equations, control problem. 
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     author = {Yusuf Egrashevich Fayziev},
     title = {On a control problem for the subdiffusion equation with a fractional derivative in the sense of caputo},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {62--78},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a4/}
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Yusuf Egrashevich Fayziev. On a control problem for the subdiffusion equation with a fractional derivative in the sense of caputo. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 39 (2022) no. 2, pp. 62-78. http://geodesic.mathdoc.fr/item/VKAM_2022_39_2_a4/