Mahgoub Transform and Ulam Stability of Logistic Growth Differential Equation
Keywords:
Ulam stability, Hyers-Ulam stability, Mittag-Leffler-Hyers-Ulam stability, Logistic differential equation, Mahgoub transformAbstract
In the present work, the main objective is to find the solution of the logistic differential Equation by employing Mahgoub transform and a series powers method.Our analysis confirms the stability of the proposed equation using the Hyers-Ulam and Mittag-Leffer-Hyers-Ulam stability. Applying our results to a population model, we demonstrate the practical significance of the obtained solution for the logistic growth differential equation.