Integrating freelance models with fractional derivatives, and artificial neural networks: A comprehensive approach to advanced computation

Heliyon. 2024 Apr 23;10(9):e30051. doi: 10.1016/j.heliyon.2024.e30051. eCollection 2024 May 15.

Abstract

In order to improve results, this work investigates how the Freelance Model (FM), Fractional Derivative (FD), and Artificial Neural Network (ANN) may all function together. We suggest a new method that combines the varied skills of freelancers with the precision of fractional derivatives and the adaptability of neural networks to maximize the benefits of each. This proposed strategy provides a new perspective to the computational methodologies and holds a promising impact on diverse industries. Future developments and applications can be made possible by this promising path toward enhanced performance in complex systems and data-driven areas. Twenty neurons have been selected and data has been trained and validated in the, following manner 70 %, 15 % and 15 %. The consistency of method has been shown using the correlation/regression and histograms in order to solve the model. The results presented here not only validate the efficacy of our approach but also open avenues for further exploration and advancements in the dynamic field of advanced computation.

Keywords: Artificial neural network; Freelance model; Levenberg-marquardt; Modified fractional derivatives.