Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions
Adel Lachouri, Mohammad Esmael Samei, Abdelouaheb Ardjouni
Abstract
Abstract In this present manuscript, by applying fractional quantum calculus, we study a nonlinear fractional pantograph q -difference equation with nonlocal boundary conditions. We prove the existence and uniqueness results by using the well-known fixed-point theorems of Schaefer and Banach. We also discuss the Ulam–Hyers stability of the mentioned pantograph q -difference problem. Lastly, the paper includes pertinent examples to support our theoretical analysis and justify the validity of the results.
Topics & Concepts
MathematicsPantographUniquenessMathematical analysisClass (philosophy)Boundary value problemNonlinear systemStability (learning theory)Ordinary differential equationFractional calculusPartial differential equationFixed-point theoremPure mathematicsDifferential equationApplied mathematicsComputer sciencePhysicsMechanical engineeringQuantum mechanicsMachine learningEngineeringArtificial intelligenceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems