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Keldysh Institute preprints, 2013, 037, 26 pages (Mi ipmp1787)  

Fractional calculus and its applications

T. S. Aleroev, E. M. Zveriaev, E. A. Larionov


Abstract: The local and non-local heat and mass transfer differential equations for the continuum with the memory and for the fractal structure ones are studied in the work. The boundary value problems for the fractional order differential equations are investigated. The non-conjugated integral operators and the boundary value problems connected to them are studied with the perturbation theory methods as well.

Keywords: fractional derivative, fractional integral, function of Mittag-Leffler type.

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Full text: http:/.../preprint.asp?id=2013-37&lg=r
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UDC: 517.927.2

Citation: T. S. Aleroev, E. M. Zveriaev, E. A. Larionov, “Fractional calculus and its applications”, Keldysh Institute preprints, 2013, 037, 26 pp.

Citation in format AMSBIB
\Bibitem{AleZveLar13}
\by T.~S.~Aleroev, E.~M.~Zveriaev, E.~A.~Larionov
\paper Fractional calculus and its applications
\jour Keldysh Institute preprints
\yr 2013
\papernumber 037
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp1787}


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  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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