Title : ( An approximate method for solving fractional TBVP with state delay by Bernstein polynomials )
Authors: elahe safaie , Mohammad Hadi Farahi ,
Full TextAbstract
The current paper aims at investigating Fractional Hamiltonian Equations for a class of fractional optimal control problems with time delay. Furthermore, we introduce a method to solve the resulting two boundary values problem (TBVP) by extending Agrawal’s fractional variational method in (Nonlinear Dyn. 38:323-337, 2004) and using Bernstein polynomials (BPs). In this paper we use the Caputo fractional derivative of order α where 0 < α < 1. Some numerical examples are included to demonstrate the validity of the present method.
Keywords
, fractional optimal control problem with time delay, two boundary values problem (TBVP), Caputo fractional derivatives, Bernstein polynomials
@article{paperid:1067883,
author = {Safaie, Elahe and Farahi, Mohammad Hadi},
title = {An approximate method for solving fractional TBVP with state delay by Bernstein polynomials},
journal = {Advances in Difference Equations},
year = {2016},
volume = {2016},
number = {298},
month = {November},
issn = {1687-1847},
pages = {2--16},
numpages = {14},
keywords = {fractional optimal control problem with time delay; two boundary values problem (TBVP); Caputo fractional derivatives; Bernstein polynomials},
}
%0 Journal Article
%T An approximate method for solving fractional TBVP with state delay by Bernstein polynomials
%A Safaie, Elahe
%A Farahi, Mohammad Hadi
%J Advances in Difference Equations
%@ 1687-1847
%D 2016
