Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses
Abdelkrim Salım, Mouffak Benchohra, Jamal Eddine Lazreg, Gaston M. N‘Guérékata
Abstract
This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed-point theorems.
Topics & Concepts
MathematicsUniquenessContraction principleNonlinear systemFixed-point theoremMathematical analysisBoundary value problemFractional calculusBanach spaceType (biology)Class (philosophy)Applied mathematicsComputer scienceQuantum mechanicsPhysicsArtificial intelligenceEcologyBiologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFunctional Equations Stability Results