Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS(2023)

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摘要
In this article, we discuss the exact controllability of a fractional order differential system involving Hilfer fractional(HF) derivative, state-dependent delay function and impulsive conditions. To obtain the proposed result, we use the semigroup theory, theory of measure of non-compactness and fixed point technique. Finally, an example is given to illustrate the application of the obtained results.
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关键词
Hilfer fractional derivative,State dependent delay,Controllability,Neutral fractional differential equation,Impulsive conditions
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