<p><?tk 2?>In this paper the sufficient condition for the existence of optimal solutions for the Lagrange problem with fractional Cauchy problem is formulated and proved. In the proof of the main result, we use the Lower Closure Theorem and the Implicit Function Theorem for a multivalued mapping (Fillipov’s lemma).</p>

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Sufficient condition for existence of solutions for fractional ODE optimal control problem with convexity assumption

  • Marek Majewski

摘要

In this paper the sufficient condition for the existence of optimal solutions for the Lagrange problem with fractional Cauchy problem is formulated and proved. In the proof of the main result, we use the Lower Closure Theorem and the Implicit Function Theorem for a multivalued mapping (Fillipov’s lemma).