Kerefov, M. A.; Nakhusheva, F. M.; Gekkieva, S. Kh. Boundary value problem for the Aller-Lykov moisture transport generalized equation with concentrated heat capacity. (Russian. English summary) Zbl 1427.35276 Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 3, 23-29 (2018). Summary: The article considers the Aller-Lykov equation with a Riemann-Liouville fractional time derivative, boundary conditions of the third kind and with the concentrated specific heat capacity on the boundary of the domain. Similar conditions arise in the case with a material of a higher thermal conductivity when solving a temperature problem for restricted environment with a heater as a concentrated heat capacity. Analogous conditions also arise in practices for regulating the water-salt regime of soils, when desalination of the upper layer is achieved by draining of a surface of the flooded for a while area. Using energy inequality methods, we obtained an a priori estimate in terms of the Riemann-Liouville fractional derivative, which revealed the uniqueness of the solution to the problem under consideration. 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