Khalida Aissani, Mouffak Benchohra, Mustapha Meghnafi
abstract:
In this paper, we prove the controllability for a class of impulsive fractional
evolution equations with state-dependent delay in a Banach space. Our study is
based on the Sadovskii's fixed point theorem. For the illustration of the main
result, an example is given.
Mathematics Subject Classification: 26A33, 34A08, 34A37, 34G20, 34K30
Key words and phrases: Impulsive fractional differential, $\alpha$-resolvent family, solution operator, Caputo fractional derivative, mild solution, state-dependent delay, fixed point, Banach space