Stability of hybrid differential equations in the sense of Hyers-Ulam using Gronwall lemma
Rahim Shah, Natasha Irshad, Dhaou Lassoued, Saleha Umar, Fatima Gul, Aabroo Abbasi, Muhammad Saifullah
Abstract
In this paper, for the first time, we use Gronwall?s lemma to show the Hyers-Ulam and Hyers-Ulam-Rassias stability of hybrid differential equations, offering a fresh and rigorous framework for studying these complex structures. Two examples are provided to illustrate the correctness of our method, and graphical illustrations are used to graphically represent the results.
Topics & Concepts
MathematicsLemma (botany)Stability (learning theory)Differential equationDifferential (mechanical device)Applied mathematicsMathematical analysisPure mathematicsAerospace engineeringEcologyComputer scienceEngineeringBiologyMachine learningPoaceaeFunctional Equations Stability ResultsNumerical methods for differential equationsAdvanced Topics in Algebra