a computational method for solving fractional optimal control problems arising in cancer treatment

The main aim of this study is to present a computational method based onfibonacci polynomials for solving fractional nonlinear optimal control problems, wherethis scheme is applied to solving the optimal control problems of cancer treatment.here, a pseudo-operational matrix of fractional integration is presented for the consideredpolynomials. then, we use this matrix, the gaussian quadrature rule, and thecollocation method to reduce the given problem into a system of algebraic equations.the eectiveness of the present technique is tested by means of one example and theresults conrm its good performance.