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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Gorskaya T.Yu. – candidate of technical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1 Galimyanov A.F. – candidate of physical-mathematical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan (Volga) Federal University The organization address: 420008, Russia, Kazan, Kremlevskaya st., 18
Title of the articleThe generalized Bubnov-Galerkina's method for the equations with the fractional and integrated operator
Abstract.Now studying of the equations with fractional and integrated operators is very actively carried out. There is a number of theoretical and applied tasks which result in need of the solution of the equations with operators of fractional integration. Problems of diffusion, electrochemical processes belong to such tasks. These problems, as a rule, precisely aren't solved therefore very are particularly acute questions of development and application of approximate methods of the decision with the subsequent their theoretical justification for these equations. In work Bubnova-Galerkin's generalized method for finding of the approximate solution of the fractional and integrated equations is offered. The type of the numerical decision is defined and estimates of convergence of the approximate decision to the exact decision about metrics of the power space made by the fractional and integrated operator are received. The constructed computing method is illustrated on a private example, and the assessment of a method is given.
Keywords.Rimana-Liouville's fractional integrals, Veyl's fractional integrals, operators of fractional integration.
For citations:Gorskaya T.Yu., Galimyanov A.F. The generalized Bubnov-Galerkina's method for the equations with the fractional and integrated operator // Izvestiya KGASU. 2014. №4(30) P.398-402.


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