Approximate Controllability for Impulsive Riemann‐Liouville Fractional Differential Inclusions

Zhenhai Liu and Maojun Bin

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We study the control systems governed by impulsive Riemann‐Liouville fractional differential inclusions and their approximate controllability in Banach space. Firstly, we introduce the PC1−α‐mild solutions for the impulsive Riemann‐Liouville fractional differential inclusions in Banach spaces. Secondly, by using the fractional power of operators and a fixed point theorem for multivalued maps, we establish sufficient conditions for the approximate controllability for a class of Riemann‐Liouville fractional impulsive differential inclusions, which is a generalization and continuation of the recent results on this issue. At the end, we give an example to illustrate the application of the abstract results.

Date: 2013
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https://doi.org/10.1155/2013/639492

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:639492

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