An iterative approach for solving fractional optimal control problems

A Alizadeh, S Effati - Journal of Vibration and Control, 2018 - journals.sagepub.com
In this work, the variational iteration method (VIM) is used to solve a class of fractional
optimal control problems (FOCPs). New Lagrange multipliers are determined and some new …

Wavelets method for solving fractional optimal control problems

MH Heydari, MR Hooshmandasl, FMM Ghaini… - Applied Mathematics …, 2016 - Elsevier
In this paper, an efficient and accurate computational method based on the Legendre
wavelets (LWs) is proposed for solving a class of fractional optimal control problems …

Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral

A Di Matteo, IA Kougioumtzoglou, A Pirrotta… - Probabilistic …, 2014 - Elsevier
A novel approximate analytical technique for determining the non-stationary response
probability density function (PDF) of randomly excited linear and nonlinear oscillators …

[HTML][HTML] Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss …

A Lotfi, SA Yousefi, M Dehghan - Journal of Computational and Applied …, 2013 - Elsevier
A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …

Approximation methods for solving fractional optimal control problems

SS Zeid, S Effati, AV Kamyad - Computational and Applied Mathematics, 2018 - Springer
In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

A new wavelet method for variable‐order fractional optimal control problems

MH Heydari, Z Avazzadeh - Asian Journal of Control, 2018 - Wiley Online Library
In this paper, a new computational method based on the Legendre wavelets (LWs) is
proposed for solving a class of variable‐order fractional optimal control problems (V …

A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems

MH Heydari - Journal of the Franklin Institute, 2018 - Elsevier
In this paper, a new direct method based on the Chebyshev cardinal functions is proposed
to solve a class of variable-order fractional optimal control problems (V-OFOCPs). To this …

[HTML][HTML] Numerical approach of Fokker–Planck equation with Caputo–Fabrizio fractional derivative using Ritz approximation

MA Firoozjaee, H Jafari, A Lia, D Baleanu - Journal of Computational and …, 2018 - Elsevier
In this manuscript, a type of Fokker–Planck equation (FPE) with Caputo–Fabrizio fractional
derivative is considered. We present a numerical approach which is based on the Ritz …

An efficient approximate method for solving delay fractional optimal control problems

P Rahimkhani, Y Ordokhani, E Babolian - Nonlinear Dynamics, 2016 - Springer
In this paper, a new numerical method for solving the delay fractional optimal control
problems (DFOCPs) with quadratic performance index is presented. In the discussed …

New quadrature approach based on operational matrix for solving a class of fractional variational problems

SS Ezz-Eldien - Journal of Computational physics, 2016 - Elsevier
This manuscript presents a new numerical approach to approximate the solution of a class
of fractional variational problems. The presented approach is consisting of using the shifted …