A modified Picard iteration method to solve fractional optimal control problems

Authors

  • Asghar Ghorbani Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

DOI:

https://doi.org/10.30495/jme.v15i0.1971

Keywords:

Picard iteration method, Fractional optimal control problem

Abstract

An effective modified of the Picard iteration method (PIM) is presented for solving the linear and nonlinear fractional optimal control problems (FOCP) in the Caputo sense. Here, the control function is first approximated by a finite series with unknown coefficients. Then the modified PIM is utilized to simulate the resulting fractional equations. Finally, the unknown coefficients could be computed by applying an optimization procedure. Some test examples are given to show the accuracy and validity of the method.

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Published

2021-07-06

Issue

Vol. 15

Section

Vol. 15, No. 5, (2021)

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