Abstract
We consider fractional order optimal control problems in whichthe dynamic control system involves integerand fractional order derivatives and the terminal time is free.Necessary conditions for a state/control/terminal-time tripletto be optimal are obtained. Situations with constraints presentat the end time are also considered.Under appropriate assumptions, it is shown that theobtained necessary optimality conditions become sufficient.Numerical methods to solve the problems are presented,and some computational simulations are discussed in detail.
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