Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations
Mohamed Houas, Francisco Martínez, Mohammad Esmael Samei, Mohammed K. A. Kaabar
Abstract
Abstract We study sequential fractional pantograph q -differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and Ulam–Hyers–Rassias stability of solutions. We also discuss an illustrative example.
Topics & Concepts
MathematicsUniquenessPantographStability (learning theory)Banach spaceContraction principleMathematical analysisContraction (grammar)Pure mathematicsDifferential equationContraction mappingApplied mathematicsFixed pointComputer scienceMechanical engineeringMachine learningEngineeringInternal medicineMedicineFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFunctional Equations Stability Results