Title of article
Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay
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
Pages
17
From page
93
To page
109
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
Journal title
Sahand Communications in Mathematical Analysis
Serial Year
2022
Record number
2732142
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