Genocchi polynomial method for the multiterm variable-order fractional differential equations

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Atıf İçin Kopyala

TURAL POLAT S. N., TURAN DİNCEL A.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.40, sa.1, ss.79-84, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 40 Sayı: 1
• Basım Tarihi: 2022
• Doi Numarası: 10.14744/sigma.2021.00032
• Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
• Sayfa Sayıları: ss.79-84
• Anahtar Kelimeler: Genocchi polynomials, Collocation method, Variable-order fractional differential equations, Numerical FDE solutions
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper a numerical solution for multiterm varable-order fractional differential equations (VO-FDEs) using Genocchi polynomials is proffered. By making use of the Genocchi polynomials, a multiterm VO-FDE can be approximated by a corresponding system of algebraic equations. To be able to do that, operational matrices for variable order fractional differentials are obtained using Genocchi polynomials. Then the algebraic equation system is solved for the coefficient values, thus the approximate solution is obtained by using the linear combination of those coefficients. Numerical examples are provided.