Solution of Fractional Optimal Control Problems by using orthogonal collocation and Multi-objective Optimization Stochastic Fractal Search

In this contribution the solution of Fractional Optimal Control Problems (FOCP) by using Orthogonal Collocation Method (OCM) and Multi-objective Optimization Stochastic Fractal Search (MOSFS) algorithm is investigated. For purpose, three classical case studies on engineering are considered. Initially, concentration profiles laccase enzyme production process analyzed to evaluate influence fractional order. Then, two FOCP (Catalyst Mixing Batch Reactor) solved association between OCM MOSFS approachesthrough formulation a multi-objective optimization problem. The results indicate that variation order impliesdifferent values for original objective function. addition, physicallyincoherent can be obtained considering fluctuation Finally, proposed considered as apromising methodology solve problems.