Solution of Some Impulsive Differential Equations via Coupled Fixed Point
Ahmed Boudaoui,
Khadidja Mebarki,
Wasfi Shatanawi,
Kamaleldin Abodayeh
Affiliations
Ahmed Boudaoui
Laboratory of Mathematics Modeling and Applications, Department of Mathematics and Computer Science, University of Adrar, National Road No. 06, Adrar 01000, Algeria
Khadidja Mebarki
Laboratory of Mathematics Modeling and Applications, Department of Mathematics and Computer Science, University of Adrar, National Road No. 06, Adrar 01000, Algeria
Wasfi Shatanawi
Department of General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Kamaleldin Abodayeh
Department of General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
In this article, we employ the notion of coupled fixed points on a complete b-metric space endowed with a graph to give sufficient conditions to guarantee a solution of system of differential equations with impulse effects. We derive recisely some new coupled fixed point theorems under some conditions and then apply our results to achieve our goal.
