Dynamic Ulam stability behavior for first-order nonlinear equations on time scales

In this paper, we establish the Ulam stability of first-order nonlinear dynamic equations on time scales. Moreover, we investigate four types of stability by employing dynamic inequalities and the Picard operator technique. An illustrative example is provided to demonstrate the primary results.

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Publication Details

Journal
Al-Azhar Bulletin of Science
Published
2025-01-01
DOI
https://doi.org/10.58675/2636-3305.1696
Primary Topic
Numerical methods for differential equations
Type
article
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article

Dynamic Ulam stability behavior for first-order nonlinear equations on time scales

Afaf A. S. Zaghrout, Ahmed A. El-Deeb, Gehan A. M. Esmaeil
Al-Azhar Bulletin of Science
Numerical methods for differential equations
article

Dynamic Ulam stability behavior for first-order nonlinear equations on time scales

Afaf A. S. Zaghrout, Ahmed A. El-Deeb, Gehan A. M. Esmaeil
article en

Abstract

In this paper, we establish the Ulam stability of first-order nonlinear dynamic equations on time scales. Moreover, we investigate four types of stability by employing dynamic inequalities and the Picard operator technique. An illustrative example is provided to demonstrate the primary results.

Al-Azhar Bulletin of ScienceVol. 36(1)
Openalex Percentile: Top 88%
Numerical methods for differential equations
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Dynamic Ulam stability behavior for first-order nonlinear equations on time scales — Afaf A. S. Zaghrout, Ahmed A. El-Deeb, et al. · Al-Azhar Bulletin of Science (2025) | TGRS Research Map | TGRS