A NEW NUMERICAL METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS IN THE SENSE OF CAPUTO-FABRIZIO DERIVATIVE.

Autor:	Herik, Leila Moghadam Dizaj, Javidi, Mohammad, Shafiee, Mahmoud
Předmět:	CAPUTO fractional derivatives NONLINEAR differential equations INTEGRAL transforms INTEGRAL equations FRACTIONAL differential equations
Zdroj:	Facta Universitatis, Series: Mathematics & Informatics; 2022, Vol. 37 Issue 1, p51-66, 16p
Abstrakt:	In this paper, fractional differential equations in the sense of Caputo-Fabrizio derivative are transformed into integral equations. Then a high order numerical method for the integral equation is investigated by approximating the integrand with a piece- wise quadratic interpolant. The scheme is capable of handling both linear and nonlinear fractional differential equations. A detailed error analysis and stability region of the numerical scheme is rigorously established. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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