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Article . 2015
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SIAM Journal on Control and Optimization
Article . 2015 . Peer-reviewed
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Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives

Approximate controllability of fractional evolution systems with Riemann-Liouville fractional derivatives
Authors: Liu, Zhenhai; Li, Xiuwen;

Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives

Abstract

Summary: We deal with the control systems governed by fractional evolution differential equations involving Riemann-Liouville fractional derivatives in Banach spaces. Our main purpose in this article is to establish suitable assumptions to guarantee the existence and uniqueness results of mild solutions. Under these conditions, the approximate controllability of the associated fractional evolution systems involving Riemann-Liouville fractional derivatives is formulated and proved.

Keywords

Controllability, Applications of operator theory to differential and integral equations, fractional evolution systems, mild solutions, approximate controllability, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Control problems involving ordinary differential equations, Riemann-Liouville fractional derivatives

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
121
Top 1%
Top 10%
Top 1%
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