TY - JOUR
ID - 20586
TI - A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Nemati, Somayeh
AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Y1 - 2016
PY - 2016
VL - 04
IS - 1
SP - 15
EP - 27
KW - Fractional optimal control problems
KW - Caputo fractional derivative
KW - Riemann-Liouville fractional integral
KW - Second-kind Chebyshev polynomials
KW - Operational matrix
DO -
N2 - 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 formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatly simplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.
UR - https://scma.maragheh.ac.ir/article_20586.html
L1 - https://scma.maragheh.ac.ir/article_20586_9a66f07fa643034de1eac90f764c105c.pdf
ER -