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α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results

Sina Etemad, Shahram Rezapour, Mohammad Esmael Samei

2020Advances in Difference Equations35 citationsDOIOpen Access PDF

Abstract

Abstract We review the existence of solutions for a three-point nonlinear q -fractional differential equation and also its related inclusion. In this way, we use α - ψ -contractions and multifunctions. Also, we provide two examples to illustrate our main results. Finally by providing some algorithms and tables, we give some numerical computations for the results.

Topics & Concepts

MathematicsOrdinary differential equationBoundary value problemDifferential inclusionNonlinear systemPartial differential equationMathematical analysisInclusion (mineral)Value (mathematics)Boundary valuesApplied mathematicsComputationPoint (geometry)Differential equationAlgorithmGeometryStatisticsGender studiesSociologyQuantum mechanicsPhysicsFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisFractional Differential Equations Solutions
α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results | Litcius