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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 5

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

Akbar Zada(DEPARTMENT OF MATHEMATICS, UNIVERSITY OF PESHAWAR)
Syed Omar Shah(DEPARTMENT OF MATHEMATICS, UNIVERSITY OF PESHAWAR)
Pages
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Publication Date
2018-10-16
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias 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-Ulam-Rassias 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
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hyers-Ulam stability · Hyers-Ulam-Rassias stability · fractional integrable impulses

Abstract

This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias 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

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Cite This Article

Zada, A., Shah, S. O. (2018). Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 5. https://ajindex.com/articles/1402888

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