Stability of hybrid differential equations in the sense of Hyers-Ulam using Gronwall lemma

Key Points

• The research demonstrates a new framework for understanding hybrid differential equations.
• Using Gronwall's lemma, the study establishes both Hyers-Ulam and Hyers-Ulam-Rassias stability.
• Two examples are introduced to validate the proposed method and illustrate its effectiveness.
• Graphical representations underscore the results, providing visual clarity on complex concepts.