Mahgoub Transform And Ulam Stability Of Logistic Growth Differential Equation

Abstract

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.