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Two sequential fractional hybrid differential inclusions

Hakimeh Mohammadi, Shahram Rezapour, Sina Etemad, Dumitru Bǎleanu

2020Advances in Difference Equations34 citationsDOIOpen Access PDF

Abstract

Abstract The main objective of this paper is to concern with a new category of the sequential hybrid inclusion boundary value problem with three-point integro-derivative boundary conditions. In this direction, we employ various novel analytical techniques based on α - ψ -contractive mappings, endpoints, and the fixed points of the product operators to obtain the main results. Finally, we provide two examples to illustrate our main results.

Topics & Concepts

MathematicsOrdinary differential equationDifferential inclusionBoundary value problemPartial differential equationDerivative (finance)Applied mathematicsFixed pointProduct (mathematics)Boundary valuesFractional calculusFixed-point theoremValue (mathematics)Partial derivativeMathematical analysisDifferential equationGeometryEconomicsFinancial economicsStatisticsNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisFractional Differential Equations Solutions
Two sequential fractional hybrid differential inclusions | Litcius