Numerical scheme for a two-term sequential fractional differential equation

• Autorzy: Błasik M.
• Języki publikacji: EN

Abstrakty

EN

A numerical scheme is constructed to solve two-term sequential fractional differential equations with the orders of Caputo derivatives in the range (0,1). The proposed method is based on a corresponding existence-uniqueness theorem and transformation of the SFDE into an equivalent fractional integral equation. Numerical solutions are compared to analytical ones in two cases. An example with multiple solutions is also discussed.

Słowa kluczowe

EN

numerical method; sequential fractional differential equation

PL

metody numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 2
• Strony: 17--29
• Opis fizyczny: Bibliogr. 16 poz., rys., tab.

Twórcy

autor

Błasik M.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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