Geodesic
Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 5, pp. 586-596.

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The paper discusses the inverse source problem for the subdiffusion equation in the Sobolev space. The direct and inverse problems are transformed into operator equations to derive solutions. The uniqueness and existence of a strong solution to the direct problem are proven. The inverse problem is reduced to an operator equation, and the well-definedness and continuity of the corresponding resolvent operator are proven.
Keywords: star metric graph, inverse problem, generalized solution, resolvent operator.
Mots-clés : subdiffusion equation 
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     author = {Zarifboy A. Sobirov and Ariukhan A. Turemuratova},
     title = {Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {586--596},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_5_a2/}
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Zarifboy A. Sobirov; Ariukhan A. Turemuratova. Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 5, pp. 586-596. http://geodesic.mathdoc.fr/item/NANO_2024_15_5_a2/