Solution of Scalar Riccati Differential Equation of Fractional Order

Authors

  • Fadhel Subhi Fadhel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq
  • Sabreen Hashim Jasim Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Baghdad-Iraq

Keywords:

Scalar Riccati differential equation, variational iteration method, Fractional calculus

Abstract

The main objective of this paper is to generalize the scalar Riccati differential equation for factional order derivatives using Caputo definition, and then to find its approximate solution using the variational iteration method. The present work consists of the statement and the proof of the variational iteration formula and then prove of its convergent to the exact solution. Some illustrative examples are considered and simulated using Mathcad 15 computer program.

Published

2019-12-01

Issue

Section

Articles

How to Cite

(1)
Solution of Scalar Riccati Differential Equation of Fractional Order. ANJS 2019, 22 (4), 68-74.