Observability Estimate for the Fractional Order Parabolic Equations on Measurable Sets

Guojie Zheng and M. Montaz Ali

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

We establish an observability estimate for the fractional order parabolic equations evolved in a bounded domain of . The observation region is , where and are measurable subsets of and (0, ), respectively, with positive measure. This inequality is equivalent to the null controllable property for a linear controlled fractional order parabolic equation. The building of this estimate is based on the Lebeau-Robbiano strategy and a delicate result in measure theory provided in Phung and Wang (2013).

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:361904

DOI: 10.1155/2014/361904

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