TY - JOUR
AU - Tajadodi, Haleh
AU - Jafari, Hossein
AU - Ncube, Mahluli Naisbitt
PY - 2022/07/27
Y2 - 2022/12/04
TI - Genocchi polynomials as a tool for solving a class of fractional optimal control problems
JF - An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
JA - Int. J. Optim. Control, Theor. Appl. (IJOCTA)
VL - 12
IS - 2
SE - Research Articles
DO - 10.11121/ijocta.2022.1263
UR - http://ijocta.org/index.php/files/article/view/1263
SP - 160-168
AB - <p>In this research, we use operational matrix based on Genocchi polynomials to obtain approximate solutions for a class of fractional optimal control problems. The approximate solution takes the form of a product consisting of unknown coefficients and the Genocchi polynomials. Our main task is to compute the numerical values of the unknown coefficients. To achieve this goal, we apply the initial condition of the problem, the Tau and Lagrange multiplier methods. We do error analysis as a means to study the behaviour of the approximate solutions.</p>
ER -