Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:3 Issue:1
Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Authors : Mouffak BENCHOHRA, Khalida AİSSANİ, Juan NİETO

Pages : 18-34

Doi:10.31197/atnaa.494662

View : 10 | Download : 6

Publication Date : 2019-03-31

Article Type : Research Paper

Abstract :In this paper, sufficient conditions are provided for the controllability of impulsive fractional evolution inclusions with state-dependent delay in Banach spaces. We used a fixed-point theorem for condensing maps due to Bohnenblust--Karlin and the theory of semigroup for the achievement of the results. An Illustrative example is presented.
Keywords : Impulsive fractional evolution, alpha resolvent family, solution operator, Caputo fractional derivative, mild solution, state dependent delay, fixed point

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