Title of article :
Solving fractional optimal control problems using Genocchi polynomials
Author/Authors :
Arablouye Moghaddam ، Maryam Department of Mathematics - Payame Noor University , Edrisi Tabriz ، Yousef Department of Mathematics - Payame Noor University , Lakestani ، Mehrdad Department of Applied Mathematics - Faculty of Mathematical Sciences - University of Tabriz
Abstract :
In this paper, we solve a class of fractional optimal control problems in the sense of Caputo derivative using Genocchi polynomials. At first we present some properties of these polynomials and we make the Genocchi operational matrix for Caputo fractional derivatives. Then using them, we solve the problem by converting it to a system of algebraic equations. Some examples are presented to show the efficiency and accuracy of the method.
Keywords :
Optimal Control Problems , Caputo fractional derivative , Genocchi polynomials , Operational matrix
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
