Non-Instantaneous Impulsive Fractional Integro-Differential Equations with State-Dependent Delay
Nadia Benkhettou, Abdelkrim Salım, Khalida Aissani, Mouffak Benchohra, Erdal Karapınar
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.
Topics & Concepts
MathematicsState (computer science)Differential equationMathematical analysisApplied mathematicsIntegro-differential equationFirst-order partial differential equationAlgorithmNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsNumerical methods for differential equations