Journal of Mathematical Sciences

, Volume 230, Issue 6, pp 950–960 | Cite as

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

Article

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 and phrases

fractional Cauchy problem Banach space α-times resolution family discretization methods difference scheme error estimate 

AMS Subject Classification

45L05 65M12 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • M. Yu. Kokurin
    • 1
  • S. I. Piskarev
    • 2
    • 3
  • M. Spreafico
    • 4
  1. 1.Department of Physics and MathematicsMari State UniversityYoshkar-OlaRussia
  2. 2.Scientific Research Computer CenterM. V. Lomonosov Moscow State UniversityMoscowRussia
  3. 3.Russian Institute for Scientific and Technical InformationMoscowRussia
  4. 4.Department of Mathematics and PhysicsInstituto Nazionale di Fisica NucleareLecceItaly

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