Title : ( A Modified Picard Iteration Method to Solve Fractional Optimal Control Problems )
Authors: Asghar Ghorbani ,
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Abstract
An eective modication of the Picard iteration method (PIM) is presented for solving linear and nonlinear fractional optimal control problems (FOCP) in the Caputo sense. Here, the control func- tion is rst approximated by a nite series with unknown coecients. Then the modied PIM is utilized to simulate the resulting fractional equations. Finally, the unknown coecients could be computed by ap- plying an optimization procedure. Some test examples are given to show the accuracy and validity of the method.
Keywords
, Picard iteration method, Fractional optimal control problem
@article{paperid:1090364,
author = {Ghorbani, Asghar},
title = {A Modified Picard Iteration Method to Solve Fractional Optimal Control Problems},
journal = {Journal of Mathematical Extension},
year = {2021},
volume = {15},
number = {7},
month = {January},
issn = {1735-8299},
pages = {1--8},
numpages = {7},
keywords = {Picard iteration method; Fractional optimal
control problem},
}
%0 Journal Article
%T A Modified Picard Iteration Method to Solve Fractional Optimal Control Problems
%A Ghorbani, Asghar
%J Journal of Mathematical Extension
%@ 1735-8299
%D 2021
