An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator

Autor: Nourhane Attia, Ali Akgül, Djamila Seba, Abdelkader Nour, Manuel De la Sen, Mustafa Bayram
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, Vol 15, Iss 1, p 144 (2023)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym15010144
Popis: 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.
Databáze: Directory of Open Access Journals
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