Instantaneous and Non-Instantaneous Impulsive Boundary Value Problem Involving the Generalized ψ-Caputo Fractional Derivative
Dongping Li, Yankai Li, Fangqi Chen, Xiaozhou Feng
Abstract
This paper studies a new class of instantaneous and non-instantaneous impulsive boundary value problem involving the generalized ψ-Caputo fractional derivative with a weight. Depending on critical point theorems and some properties of ψ-Caputo-type fractional integration and differentiation, the variational construction and multiplicity result of solutions are established.
Topics & Concepts
Fractional calculusMathematicsBoundary value problemMathematical analysisMultiplicity (mathematics)Derivative (finance)Class (philosophy)Applied mathematicsComputer scienceArtificial intelligenceFinancial economicsEconomicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems