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

Authors

1 Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr City (11884), Cairo, Egypt

2 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

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.

Keywords