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RISSolving Fractional Variational Problem Via an Orthonormal Function
In the present paper, a direct numerical technique for solving fractional optimal control problems based on an orthonormal wavelet, is introduced. First we approximate the involved functions by Sine-Cosine wavelet basis; then, an operational matrix...
An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials
Abstract In this paper, we present a method for solving a class of fractional optimal control
problems with time delay. The method is based upon the Bernstein polynomial basis. The
main reason of using this technique is the efficiency...
A Neural Network Approach for Solving a Class of Fractional Optimal Control Problems
In this paper the perceptron neural networks are applied to approximate the solution
of fractional optimal control problems. The necessary (and also sufficient in most cases)
optimality conditions are stated in a form of fractional two...
Numerical solutions for solving a class of fractional optimal control problems via fixed-point approach
In this paper, an optimization problem is performed to obtain an approximate solution for a class of fractional optimal control problems (FOCPs) with the initial and final conditions. The main characteristic of our approximation is to reduce...
An approximate method for solving fractional TBVP with state delay by Bernstein polynomials
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...
The Laplace-collocation method for solving fractional differential equations and a class of fractional optimal control problems
Chebyshev-Gauss collocation method. In addition, we used the proposed tech-
nique for solving a class of fractional optimal control problems. For confirming
the efficiency and accuracy of the proposed approach, illustrative numerical...
The Approximate Solution of Nonlinear Fractional Optimal Control Problems by Measure Theory Approach
Abstract: In this paper a novel strategy in finding an approximate solution for nonlinear fractional optimal control is proposed. The measure theory is used to find the solution. There are different definition for fractional derivative and integral...
Comments on “A discrete method to solve fractional optimal control problems” (Nonlinear Dyn, DOI:10.1007/s11071-014-1378-1)
In this note, we address a controversial issue in the paper entitled “A discrete method to solve fractional optimal control problems” published in the Journal of Nonlinear Dynamics with DOI,10.1007/s11071-014-1378-1 . We have shown...
An iterative approach for solving fractional optimal control problems
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 iterative formulas are presented. The fractional derivative (FD...
Numerical Schemes for Fractional Optimal Control Problems
In the present study, variational iteration and Adomian decomposition methods are applied for solving a class of fractional optimal control problems (FOCPs). Also a comparative study between these two methods is presented.The fractional derivative...