Approximate controllability for impulsive Riemann-Liouville fractional differential inclusions

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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. © 2013 Zhenhai Liu and Maojun Bin.

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APA

Liu, Z., & Bin, M. (2013). Approximate controllability for impulsive Riemann-Liouville fractional differential inclusions. Abstract and Applied Analysis, 2013. https://doi.org/10.1155/2013/639492

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