- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 4 | Download : 2
Publication Date : 2019-03-31
Article Type : Research
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