On $k$-Generalized $\psi$-Hilfer Boundary Value Problems with Retardation and Anticipation
Abdelkrim Salım, Mouffak Benchohra, Jamal Eddine Lazreg, Johnny Henderson
Abstract
In this paper, we prove some existence and uniqueness results for a class of boundary valued problems for implicit nonlinear $k$-generalized $\psi$-Hilfer fractional differential equations involving both retarded and advanced arguments. Further, examples are given to illustrate the viability of our results.
Topics & Concepts
UniquenessAnticipation (artificial intelligence)Boundary value problemMathematicsClass (philosophy)Nonlinear systemBoundary valuesValue (mathematics)Applied mathematicsMathematical analysisPure mathematicsCalculus (dental)Mathematical economicsComputer sciencePhysicsStatisticsMedicineDentistryArtificial intelligenceQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems