Boundary Value Problem for Fractional Order Generalized Hilfer-Type Fractional Derivative with Non-Instantaneous Impulses
Abdelkrim Salım, Mouffak Benchohra, John R. Graef, Jamal Eddine Lazreg
Abstract
This manuscript is devoted to proving some results concerning the existence of solutions to a class of boundary value problems for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivatives. The results are based on Banach’s contraction principle and Krasnosel’skii’s fixed point theorem. To illustrate the results, an example is provided.
Topics & Concepts
MathematicsFixed-point theoremFractional calculusContraction principleBoundary value problemMathematical analysisNonlinear systemContraction mappingOrder (exchange)Type (biology)Applied mathematicsFixed pointContraction (grammar)PhysicsEcologyInternal medicineFinanceBiologyQuantum mechanicsEconomicsMedicineNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems