Application of Transcendental Bernstein Polynomials for Solving Two-Dimensional Fractional Optimal Control Problems

The aim of this study is to introduce a novel method solve class two-dimensional fractional optimal control problems. Since there are some difficulties solving these problems using analytical methods, thus finding numerical methods approximate their solution challenging topic. In study, we use transcendental Bernstein series. fact, for the problem, generalize polynomials larger functions which can provide more accurate solutions. convergence theorem proved. Some examples solved demonstrate validity and applicability technique. Comparing results with other find efficiency scheme.