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Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions

Athasit Wongcharoen, Sotiris K. Ntouyas, Jessada Tariboon

2020Mathematics27 citationsDOIOpen Access PDF

Abstract

In this paper, we study boundary value problems for differential inclusions, involving Hilfer fractional derivatives and nonlocal integral boundary conditions. New existence results are obtained by using standard fixed point theorems for multivalued analysis. Examples illustrating our results are also presented.

Topics & Concepts

Boundary value problemMathematicsMathematical analysisBoundary valuesDifferential (mechanical device)Fractional calculusBoundary (topology)Value (mathematics)Fixed-point theoremPhysicsStatisticsThermodynamicsFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisFractional Differential Equations Solutions
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