Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 198, Pages 61–67
DOI: https://doi.org/10.36535/0233-6723-2021-198-61-67 (Mi into874) 		 
Numerical-analytical method for solving a boundary-value problem for the modified equation of moisture transfer with time-fractional derivative

M. A. Kerefova, F. M. Nakhushevaa, S.Kh. Gekkievab

a Kabardino-Balkar State University, Nal'chik
b Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.36535/0233-6723-2021-198-61-67
Abstract: The paper is devoted to a new moisture transfer equation, which generalizes the Aller equation by means the new concept of the fractal rate of change of humidity. This clarifies the presence of water flows directed opposite to the humidity potential. We find a solution of the system of difference equations with constant coefficients obtained by applying the straight-line method to the Aller equation with the Riemann-Liouville time-fractional derivative and first-kind boundary conditions.
Keywords: Aller generalized moisture transfer equation, fractional derivative, straight line method, a priori estimate.
Document Type: Article
UDC: 517.95
MSC: 35L99
Language: Russian
Citation: M. A. Kerefov, F. M. Nakhusheva, S.Kh. Gekkieva, “Numerical-analytical method for solving a boundary-value problem for the modified equation of moisture transfer with time-fractional derivative”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 61–67
Citation in format AMSBIB
\Bibitem{KerNakGek21}
\by M.~A.~Kerefov, F.~M.~Nakhusheva, S.Kh.~Gekkieva
\paper Numerical-analytical method for solving a boundary-value problem for the modified equation of moisture transfer with time-fractional derivative
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 198
\pages 61--67
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into874}
\crossref{https://doi.org/10.36535/0233-6723-2021-198-61-67}
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