Controllability for Impulsive Fractional Evolution Inclusions with State-Dependent Delay

Yıl 2019, Cilt: 3 Sayı: 1, 18 - 34, 31.03.2019

Mouffak Benchohra Khalida Aissani Juan Nieto

https://doi.org/10.31197/atnaa.494662

Cited By: 1

Öz

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.

Anahtar Kelimeler

Impulsive fractional evolution, $\alpha$-resolvent family, solution operator, Caputo fractional derivative, mild solution, state-dependent delay, fixed point

Kaynakça

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