Abstract

In this paper we considers the Caputo fractional semi linear control systems, then we obtain sufficient conditions for regional boundary controllability of a board class of considered system with order (0<α≤1). The conditions are obtained using fractional calculus and Schauder’s fixed point theorem, that leads to an important approach based on a link between internal and boundary controllability which will be summarized as an algorithm. At the end, some simulations are given to show the application of our result.

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