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

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

Aziz Khan, Qura Tul Ain, Thabet Abdeljawad and Kottakkaran Sooppy Nisar
Qualitative theory of dynamical systems, Vol.22(2)
01/06/2023

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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