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

Authors

Gehan A. M. Esmaeil, Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, EgyptFollow
Afaf A. S. Zaghrout, Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt
Ahmed A. El-Deeb, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

Document Type

Original Article

Subject Areas

Mathematics and Statistics

Keywords

Dynamic equations, Gronwall inequality, Picard operator, Time scale, Ulam stability

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.

How to Cite This Article

Esmaeil, Gehan A. M.; Zaghrout, Afaf A. S.; and El-Deeb, Ahmed A. (2025) "Dynamic Ulam stability behavior for first-order nonlinear equations on time scales," Al-Azhar Bulletin of Science: Vol. 36: Iss. 1, Article 5.
DOI: https://doi.org/10.58675/2636-3305.1696