Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative

Authors

  • Eman Abuteen Al-Balqa' applied university

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.5013

Keywords:

Caputo-Fabrizio fractional operator, Riccati differential equation, Fractional differential equation

Abstract

This article offers an analytical solution for the fractional Riccati differential equation in three distinct cases. These cases are determined by the discriminant and the analytical solution based on the properties of the Caputo-Fabrizio fractional derivative and integral. Several examples were tested using this analytical solution. It is noteworthy that various methods have yielded related results as indicated in the literature.

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Published

2024-01-31

Issue

Vol. 17 No. 1: (January 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative. (2024). European Journal of Pure and Applied Mathematics, 17(1), 372-384. https://doi.org/10.29020/nybg.ejpam.v17i1.5013