The field of fractional dynamics and numerical analysis is witnessing significant advancements, with a focus on developing innovative methods for solving fractional differential equations and analyzing their stability properties. Researchers are exploring new approaches, such as the Asad Correctional Power Series Method, to improve the accuracy and efficiency of numerical solutions. The use of fractional calculus and functional analysis is becoming increasingly prominent, enabling the study of complex systems and phenomena. Noteworthy papers in this area include: The paper on Analytical and Numerical Approaches for Finding Functional Iterates and Roots, which introduces a framework for defining fractional iterates of exponential functions. The paper on The Asad Correctional Power Series Method, which presents a novel approach to solving fractional differential equations with improved accuracy and computational efficiency.