Fractional nonlinear systems with sequential operators

• Authors: Dorota Mozyrska , Ewa Girejko , Małgorzata Wyrwas
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

fractional derivative; fractional difference; sequential difference; approximation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1295-1303

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Dorota Mozyrska

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

author

Ewa Girejko

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

author

Małgorzata Wyrwas

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

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Identifiers

DOI

10.2478/s11534-013-0223-3