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Fractional nonlinear systems with sequential operators

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

In the paper possible approximation of solutions to initial value problems stated for fractional nonlinear equations with sequential derivatives of Caputo type is presented. We proved that values of Caputo derivatives in continuous case can be approximated by corresponding values of h-difference operators with h being small enough. Numerical examples are presented.

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Authors and Affiliations

  1. Bialystok University of Technology, ul. Wiejska 45a, 15-351, Białystok, Poland

    Dorota Mozyrska, Ewa Girejko & Małgorzata Wyrwas

Authors
  1. Dorota Mozyrska
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  2. Ewa Girejko
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  3. Małgorzata Wyrwas
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Corresponding author

Correspondence to Dorota Mozyrska.

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Mozyrska, D., Girejko, E. & Wyrwas, M. Fractional nonlinear systems with sequential operators. centr.eur.j.phys. 11, 1295–1303 (2013). https://doi.org/10.2478/s11534-013-0223-3

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  • DOI: https://doi.org/10.2478/s11534-013-0223-3

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