شماره ركورد كنفرانس :
3502
عنوان مقاله :
Solving a class of fractional optimal control problems by Homotopy Perturbation Method
Author/Authors :
M Alipour Shahid Bahonar University of Kerman , M. A Vali School of Mathematics - Shahid Bahonar University of Kerman
كليدواژه :
Fractional Optimal control problems , Caputo fractional derivative , Riemann-Liouville fractional integration , Homotopy Perturbation method , Pontryagin's maximum principle
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, the Homotopy Perturbation method (HPM) has been applied for a class of frac
tional optimal control problems. In this approach, rst, the original fractional optimal control problem is
transformed into a fractional problem via the Pontryagins maximum principle, and then, we apply Homotopy
perturbation method for solving the fractional problem. Solving this system, in a recursive manner leads to
the optimal control law and the optimal trajectory in the form of rapid convergent series.
