Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations

Xue Pan, Xiuwen Li and Jing Zhao

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

We consider the control systems governed by semilinear differential equations with Riemann-Liouville fractional derivatives in Banach spaces. Firstly, by applying fixed point strategy, some suitable conditions are established to guarantee the existence and uniqueness of mild solutions for a broad class of fractional infinite dimensional control systems. Then, by using generally mild conditions of cost functional, we extend the existence result of optimal controls to the Riemann-Liouville fractional control systems. Finally, a concrete application is given to illustrate the effectiveness of our main results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:216919

DOI: 10.1155/2014/216919

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