Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions
Athasit Wongcharoen, Sotiris K. Ntouyas, Jessada Tariboon
Abstract
Abstract In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions. Existence and uniqueness results are obtained by using well-known fixed point theorems for single and multi-valued functions. Examples illustrating our results are also presented.
Topics & Concepts
MathematicsBoundary value problemUniquenessOrdinary differential equationMathematical analysisFractional calculusPantographPartial differential equationType (biology)Fixed-point theoremDifferential equationMechanical engineeringBiologyEcologyEngineeringFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisNumerical methods in engineering