A novel numerical method for solving the Caputo-Fabrizio fractional differential equation
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, a unique and novel numerical approach-the fractional-order Caputo-Fabrizio derivative in the Caputo sense-is developed for the solution of fractional differential equations with a non-singular kernel. After converting the differential equation into its corresponding fractional integral equation, we used Simpson's 1/3 rule to estimate the fractional integral equation. A thorough study is then conducted to determine the convergence and stability of the suggested method. We undertake numerical experiments to corroborate our theoretical findings.
Açıklama
Anahtar Kelimeler
fractional differential equation, non-singular operator, numerical approximation, stability analysis, convergence analysis
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
8
Sayı
4
