Mohammadi, F.Moradi, L.Baleanu, DumitruJajarmi, Amin2020-03-232020-03-232018Mohammadi, F.; Moradi, L.; Baleanu, D. "A hybrid functions numerical scheme for fractional optimal control problems: Application to nonanalytic dynamic systems", Journal of Vibration and Control, Vol. 24, No. 21. pp. 5030-5043, (2018).1077-5463http://hdl.handle.net/20.500.12416/2710In this paper, a numerical scheme based on hybrid Chelyshkov functions (HCFs) is presented to solve a class of fractional optimal control problems (FOCPs). To this end, by using the orthogonal Chelyshkov polynomials, the HCFs are constructed and a general formulation for their operational matrix of the fractional integration, in the Riemann-Liouville sense, is derived. This operational matrix together with HCFs are used to reduce the FOCP to a system of algebraic equations, which can be solved by any standard iterative algorithm. Moreover, the application of presented method to the problems with a nonanalytic dynamic system is investigated. Numerical results confirm that the proposed HCFs method can achieve spectral accuracy to approximate the solution of FOCPs.eninfo:eu-repo/semantics/closedAccessFractional Optimal Control ProblemsHybrid Chelyshkov FunctionsFractional CalculusSingular Dynamic SystemGauss-Legendre QuadratureArticle24215030504310.1177/1077546317741769