Mahgoub Transform and Ulam Stability of Logistic Growth Differential Equation

A.Mohanapriya; A.Ponmana Selvan

Mahgoub Transform and Ulam Stability of Logistic Growth Differential Equation

Authors

A.Mohanapriya Assistant Professor, Department of Mathematics, Christ College of Science and Management,Malur, Karnataka, India
A.Ponmana Selvan Department of Mathematics,Rajalakshmi Engineering College (Autonomous), Thandalam, Chennai, Tamil Nadu, India

Keywords:

Ulam stability, Hyers-Ulam stability, Mittag-Leffler-Hyers-Ulam stability, Logistic differential equation, Mahgoub transform

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.

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Published

2024-09-11

How to Cite

A.Mohanapriya, & A.Ponmana Selvan. (2024). Mahgoub Transform and Ulam Stability of Logistic Growth Differential Equation. Journal of Computational Analysis and Applications (JoCAAA), 33(08), 226–233. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/1268