Leila Moghadam Dizaj Herik, Mohammad Javidi, Mahmoud Shafiee

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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.


Fractional dierential equation, Caputo-Fabrizio fractional derivative, interpolation, non-singular kernel.

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DOI: https://doi.org/10.22190/FUMI210105006M


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