University of Tabriz Computational Methods for Differential Equations 2345-3982 4 2 2016 04 01 Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems 99 115 5432 EN Elmira Ashpazzadeh Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran Mehrdad Lakestani Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran Journal Article 2016 08 04 In this paper, a new numerical method for solving fractional optimal control problems (FOCPs) is presented. The fractional derivative in the dynamic system is described in the Caputo sense. The method is based upon biorthogonal cubic Hermite spline multiwavelets approximations. The properties of biorthogonal multiwavelets are first given. The operational matrix of fractional Riemann-Lioville integration and multiplication are then utilized to reduce the given optimization problem to the system of algebraic equations. In order to save memory requirement and computational time, a threshold procedure is applied to obtain algebraic equations. Illustrative examples are provided to confirm the applicability of the new method. https://cmde.tabrizu.ac.ir/article_5432_1b3c457da684d464a56954bafabf776f.pdf