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, 2017, Volume 133, Pages 120–129 (Mi into192)  
This article is cited in 2 scientific papers (total in 2 papers)

Finite-Difference Methods for Fractional Differential Equations of Order $1/2$

M. Yu. Kokurina, S. I. Piskarevb, M. Spreaficoc

a Mari State University, Ioshkar-Ola
b Lomonosov Moscow State University, Research Computing Center
c Department of Mathematics and Physics, Instituto Nazionale di Fisica Nucleare, Lecce, Italy
Full-text PDF (345 kB) Citations (2)
Abstract: In this work, we study approximations of solutions of fractional differential equations of order ${1}/{2}$. We present a new method of approximation and obtain the order of convergence. The presentation is given within the abstract framework of a semidiscrete approximation scheme, which includes finite-element methods, finite-difference schemes, and projection methods.
Keywords: fractional Cauchy problem, Banach space, $\alpha$-times resolution family, discretization methods, difference scheme, error estimate.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00026_a
16-01-00039_a
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 6, Pages 950–960
DOI: https://doi.org/10.1007/s10958-018-3800-6
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 45L05; 65M12
Language: Russian
Citation: M. Yu. Kokurin, S. I. Piskarev, M. Spreafico, “Finite-Difference Methods for Fractional Differential Equations of Order $1/2$”, Functional analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 133, VINITI, Moscow, 2017, 120–129; J. Math. Sci. (N. Y.), 230:6 (2018), 950–960
Citation in format AMSBIB
\Bibitem{KokPisSpr17}
\by M.~Yu.~Kokurin, S.~I.~Piskarev, M.~Spreafico
\paper Finite-Difference Methods for Fractional Differential Equations of Order $1/2$
\inbook Functional analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 133
\pages 120--129
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into192}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3799502}
\zmath{https://zbmath.org/?q=an:1393.45009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 6
\pages 950--960
\crossref{https://doi.org/10.1007/s10958-018-3800-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85045126586}
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  • https://www.mathnet.ru/eng/into/v133/p120
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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