Author/Authors :
Benkhettou, Nadia Laboratory of Mathematics - University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria , Salim, Abdelkrim Laboratory of Mathematics - University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria , Aissani, Khalida University of Bechar, Bechar, Algeria , Benchohra, Mouffak Laboratory of Mathematics - University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria , Karapinar, Erdal Division of Applied Mathematics - Thu Dau Mot University, Ankara, Turkey
Abstract :
This paper deals with the existence and uniqueness
of the mild solution of the fractional integro-differential equations
with non-instantaneous impulses and state-dependent delay. Our
arguments are based on the fixed point theory. Finally, an example
to confirm of the results is provided.
Keywords :
Non-instantaneous impulses , Fractional integro- differential equations , Fixed point , Caputo Fractional derivative , State-dependent delay
