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| Titre: | Numerical solution of the fractional relaxation-oscillation equation by using reproducing kernel hilbert space method |
| Auteur(s): | Attia, Nourhane
Akgül, Ali
Seba, Djamila
Nour, Abdelkader |
| Mots-clés: | Caputo derivative
Fractional relaxation-oscillation equation
Reproducing kernel Hilbert space method
Hilbert space
Numerical approximation
Inner product |
| Date de publication: | 2021 |
| Editeur: | Springer |
| Collection/Numéro: | International Journal of Applied and Computational Mathematics/ Vol.7, N°4 (2021);pp. 1-21 |
| Résumé: | In this article, the reproducing kernel Hilbert space is proposed and analyzed for the
relaxation-oscillation equation of fractional order (FROE). The relaxation oscillation is a
type of oscillator based on the way that the physical system’s returns to its equilibrium after
being disturbed. We make use of the Caputo fractional derivative. The approximate solution
can be obtained by taking n-terms of the analytical solution that is in term of series formula.
The numerical experiments are used to prove the convergence of the approximate solution
to the analytical solution. The results obtained by the given method demonstrate that it is
convenient and efficient for FROE |
| URI/URL: | https://link.springer.com/article/10.1007/s40819-021-01087-2
DOI 10.1007/s40819-021-01087-2
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7124 |
| ISSN: | 23495103
2199-5796 Electronic |
| Collection(s) : | Publications Internationales
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