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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

Hyers-Ulam stability of first-order non-linear delay diferential equations with fractional integrable impulses

Syed Omar SHAH
Akbar ZADA
Pages
1196–1205
Publication Date
2022-10-18
DOI
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AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our approach uses abstract Grönwall lemma together with integral inequality of Grönwall type for piecewise continuous functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper proves the Hyers-Ulam stability and Hyers-UlamRassias stability of first-order non-linear delay differential equations with fractional integrable impulses.
📊
Key Findings & Data:This paper proves the Hyers-Ulam stability and Hyers-UlamRassias stability of first-order non-linear delay differential equations with fractional integrable impulses.
💡
Conclusion & Impact:Our approach uses abstract Grönwall lemma together with integral inequality of Grönwall type for piecewise continuous functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper proves the Hyers-Ulam stability and Hyers-UlamRassias stability of first-order non-linear delay differential equations with fractional integrable impulses. Our approach uses abstract Grönwall lemma together with integral inequality of Grönwall type for piecewise continuous functions.

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Cite This Article

SHAH, S. O., ZADA, A. (2022). Hyers-Ulam stability of first-order non-linear delay diferential equations with fractional integrable impulses. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1196–1205. https://ajindex.com/articles/529808

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