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Title

A NUMERICAL SCHEME FOR TWO-DIMENSIONAL OPTIMAL CONTROL PROBLEMS WITH GRUNWALD-LETNIKOV FOR RIESZ FRACTIONAL DERIVATIVES

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Abstract

 IN THIS PAPER, WE STUDY CONTROL SYSTEMS CONTAINING A RIESZ FRACTIONAL DERIVATIVE AND SOLVE THIS PROBLEM BY A NUMERICAL METHOD WHICH IS SO CALLED GR¨UNWALD-LETNIKOV APPROXIMATION SCHEME. A TWO-DIMENSIONAL FRACTIONAL OPTIMAL CONTROL PROBLEM IS STUDIED AS AN EXAMPLE TO DEMONSTRATE THE PERFORMANCE OF THIS METHOD.

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