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| Titre: | An efficient approach for solving differential equations in the frame of a new fractional derivative operator |
| Auteur(s): | Attia, Nourhane
Akgül, Ali
Seba, Djamila
Nour, Abdelkader
la Sen, Manuel De
Bayram, Mustafa |
| Mots-clés: | constant proportional-Caputo operator
fractional differential equations
proportional-Caputo hybrid operator
reproducing kernel Hilbert space method |
| Date de publication: | 2023 |
| Editeur: | MDPI |
| Collection/Numéro: | Symmetry/ Vol.15, N°1 (2023);pp. 1-25 |
| Résumé: | Recently, a new fractional derivative operator has been introduced so that it presents the combination of the Riemann–Liouville integral and Caputo derivative. This paper aims to enhance the reproducing kernel Hilbert space method (RKHSM, for short) for solving certain fractional differential equations involving this new derivative. This is the first time that the application of the RKHSM is employed for solving some differential equations with the new operator. We illustrate the convergence analysis of the applicability and reliability of the suggested approaches. The results confirm that the RKHSM finds the true solution. Additionally, these numerical results indicate the effectiveness of the proposed method |
| URI/URL: | https://www.mdpi.com/2073-8994/15/1/144
https://doi.org/10.3390/sym15010144
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/11241 |
| ISSN: | 20738994 |
| Collection(s) : | Publications Internationales
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