Undetermined Coefficients Method for Sequential Fractional Differential Equations

Yıl 2023, Cilt: 6 Sayı: 1, 44 - 50, 31.05.2023

Sertaç Erman

https://doi.org/10.34088/kojose.1145611

Öz

The undetermined coefficients method is presented for nonhomogeneous sequential fractional differential equations involving Caputo fractional derivative of order n\alpha where n-1 n\alpha\le\ n and n\in\mathbb{N}. By employing proposed method, a particular solution of the considered equation is obtained. Some details about estimating the particular solution required to apply this method are explained. This method is shown to be particularly effective for nonhomogeneous fractional differential equations when the fractional differential equations involve some specific right-hand side functions.

Anahtar Kelimeler

Fractional Differential Equation, Undetermined Coefficients, Caputo Derivative, Particular Solution

Kaynakça

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