APPLICATION OF ADOMIAN DECOMPOSITION METHOD TO A GENERALIZED FRACTIONAL RICCATI DIFFERENTIAL EQUATION ($\psi$-FRDE)
Keywords:
$\psi$-Caputo derivative; fractional nonlinear Riccati differential equation; Adomian decomposition method; semi-analytical methodDOI:
https://doi.org/10.17654/0974324324028Abstract
In this article, we generalize the fractional Riccati differential equations (FRDEs) by using a fractional derivative of a function with respect to another function ( $\psi$-Caputo derivative) and obtain $\psi$-FRDEs. Using the Adomian decomposition method (ADM) with Wazwaz modification, we solve the $\psi$-FRDEs semi-analytically. Comparing the solutions of the $\psi$-FRDEs with several functions of $\psi(x)$ and different values of fractional orders, we show that the presented method is efficient.
Received: August 4, 2024
Revised: August 22, 2024
Accepted: August 31, 2024
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