Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces
Abdelkrim Salım, Mouffak Benchohra, Jamal Eddine Lazreg, Johnny Henderson
Abstract
In the present article, we prove some results concerning the existence of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivative in Banach spaces. The results are based on fixed point theorems of Darbo and Monch associated with the technique of measure of noncompactness. An example is included to show the applicability of our results. .
Topics & Concepts
MathematicsBanach spaceNonlinear systemFixed-point theoremFractional calculusMathematical analysisC0-semigroupInitial value problemClass (philosophy)Measure (data warehouse)Applied mathematicsComputer sciencePhysicsArtificial intelligenceQuantum mechanicsDatabaseNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFunctional Equations Stability Results