Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan‐Lucian Popa
Abstract
Abstract This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools of fixed point theory. Furthermore, we investigate different kinds of stability such as Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability, and generalized Ulam–Hyers–Rassias stability. Finally, we give two examples to demonstrate the validity of main results.
Topics & Concepts
MathematicsUniquenessStability (learning theory)Mathematical analysisBoundary (topology)Ordinary differential equationBoundary value problemClass (philosophy)Applied mathematicsDifferential equationArtificial intelligenceMachine learningComputer scienceFunctional Equations Stability ResultsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions