Open AccessA numerical technique for solving fractional optimal control problems and fractional Riccati differential equations
Author(s) -
Fateme Ghomanjani
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.12.003
Subject(s) - mathematics , fractional calculus , optimal control , riccati equation , algebraic riccati equation , differential equation , mathematical analysis , mathematical optimization
In the present paper, we apply the Bezier curves method for solving fractional optimal control problems (OCPs) and fractional Riccati differential equations. The main advantage of this method is that it can reduce the error of the approximate solutions. Hence, the solutions obtained using the Bezier curve method give good approximations. Some numerical examples are provided to confirm the accuracy of the proposed method. All of the numerical computations have been performed on a PC using several programs written in MAPLE 13