On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property
Sina Etemad, Shahram Rezapour, Mohammad Esmael Samei
Abstract
In the present research manuscript, we introduce a novel general fractional boundary value inclusion problem and investigate the necessary and sufficient conditions for desired existence results. Indeed, more precisely, we formulate a class of fractional multiterm Caputo–Hadamard differential inclusion problem with two‐point sum boundary value conditions. In two separate theorems, we prove the existence results for mentioned inclusion problem by using α ‐ ψ ‐contractive maps and approximate endpoint property. Finally, we provide an example to illustrate our main results.
Topics & Concepts
MathematicsHadamard transformProperty (philosophy)Boundary value problemInclusion (mineral)Class (philosophy)Mathematical analysisValue (mathematics)Boundary (topology)Applied mathematicsDifferential inclusionPoint (geometry)Initial value problemPure mathematicsGeometryComputer scienceSociologyPhilosophyArtificial intelligenceGender studiesStatisticsEpistemologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods