An Accurate Numerical Technique for Solving Fractional Optimal Control Problems
نویسنده
چکیده
1 King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia 2 Beni-Suef University, Faculty of Science, Department of Mathematics, Beni-Suef, Egypt 3 Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt 4 King Abdulaziz University, Faculty of Engineering, Department of Chemical and Materials Engineering, Jeddah, Saudi Arabia 5 Cankaya University, Faculty of Arts and Sciences, Department of Mathematics and Computer Sciences, Ankara, Turkey 6 Institute of Space Sciences, Magurele-Bucharest, Romania 7 Modern Academy, Institute of Information Technology, Department of Basic Science, Cairo, Egypt E-mail: [email protected]
منابع مشابه
A New Modification of Legendre-Gauss Collocation Method for Solving a Class of Fractional Optimal Control Problems
In this paper, the optimal conditions for fractional optimal control problems (FOCPs) were derived in which the fractional differential operators defined in terms of Caputo sense and reduces this problem to a system of fractional differential equations (FDEs) that is called twopoint boundary value (TPBV) problem. An approximate solution of this problem is constructed by using the Legendre-Gauss...
متن کاملA spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature fo...
متن کاملNumerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions
In this paper, we consider the numerical solution of a class of delay fractional optimal control problems using modification of hat functions. First, we introduce the fractional calculus and modification of hat functions. Fractional integral is considered in the sense of Riemann-Liouville and fractional derivative is considered in the sense of Caputo. Then, operational matrix of fractional inte...
متن کاملBiorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems
In this paper, a new numerical method for solving fractional optimal control problems (FOCPs) is presented. The fractional derivative in the dynamic system is described in the Caputo sense. The method is based upon biorthogonal cubic Hermite spline multiwavelets approximations. The properties of biorthogonal multiwavelets are first given. The operational matrix of fractional Riemann-Lioville in...
متن کاملA Neural Network Method Based on Mittag-Leffler Function for Solving a Class of Fractional Optimal Control Problems
In this paper, a computational intelligence method is used for the solution of fractional optimal control problems (FOCP)'s with equality and inequality constraints. According to the Ponteryagin minimum principle (PMP) for FOCP with fractional derivative in the Riemann- Liouville sense and by constructing a suitable error function, we define an unconstrained minimization problem. In the optimiz...
متن کاملNew operational matrix for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative
In this paper, we apply spectral method based on the Bernstein polynomials for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative. In the first step, we introduce the dual basis and operational matrix of product based on the Bernstein basis. Then, we get the Bernstein operational matrix for the Jumarie’s modified Riemann-Liouville fractio...
متن کامل