An Efficient Approach for Solving Differential Equations in the Frame of a New Fractional Derivative Operator
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
fractional differential equations, proportional-Caputo hybrid operator, constant proportional-Caputo operator, reproducing kernel Hilbert space method
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
15
Sayı
1
