Elzaki, T.M. (2010) On a New Integral Transform Elzaki Transform Fundamental Properties Investigations and Applications. Global Journal of Mathematical Sciences: Theory and Practical, 3, 1-13.

has been cited by the following article:

• TITLE: Fractional-Order Financial System Using Efficient Numerical Methods

  AUTHORS: Hunida Malaikah, Jawaher Faisal Al-Abdali

  KEYWORDS: Fractional-Order Financial System, Caputo Fractional Derivative, Elzaki Transform Method, Stability Analysis, Equilibrium Points, Chaos in Financial Systems, Feedback Control Method

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.15 No.1, March 31, 2025

  ABSTRACT: This work focuses on the development and analysis of a financial system using advanced mathematical modeling techniques. Starting from an ordinary financial system, we extend it to a fractional-order framework by incorporating the Caputo fractional-order operator. The fractional differential equations are solved both analytically and numerically. Analytical solutions are derived using the Elzaki transform method, providing deeper insights into the system’s dynamics. Stability analysis is performed to identify equilibrium points and derive precise conditions for system stability. Furthermore, we explore chaotic behavior within the system and propose effective control strategies using the feedback control method to regulate its dynamics. The results offer significant contributions to understanding and managing complex financial systems, enabling improved decision-making in financial analysis and policy design.