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

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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.

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Authors and Affiliations

  1. Department of Physics and Mathematics, Mari State University, Yoshkar-Ola, Russia

    M. Yu. Kokurin

  2. Scientific Research Computer Center, M. V. Lomonosov Moscow State University, Moscow, Russia

    S. I. Piskarev

  3. Russian Institute for Scientific and Technical Information, Moscow, Russia

    S. I. Piskarev

  4. Department of Mathematics and Physics, Instituto Nazionale di Fisica Nucleare, Lecce, Italy

    M. Spreafico

Authors
  1. M. Yu. Kokurin
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  2. S. I. Piskarev
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  3. M. Spreafico
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Corresponding author

Correspondence to M. Yu. Kokurin.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 133, Functional Analysis, 2017.

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Kokurin, M.Y., Piskarev, S.I. & Spreafico, M. Finite-Difference Methods for Fractional Differential Equations of Order 1/2. J Math Sci 230, 950–960 (2018). https://doi.org/10.1007/s10958-018-3800-6

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  • DOI: https://doi.org/10.1007/s10958-018-3800-6

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