2025, Vol. 6, Issue 2, Part B
Fractional order reaction-diffusion dynamics: A study via approximate analytical technique
Author(s): Saranya K and R Angel Joy
Abstract: Lyons and colleagues proposed a model based on a second-order nonlinear differential equation to theoretically examine the steady-state of amperometric z behavior in polymer-modified electrode systems controlled by Michaelis-Menten (MM) kinetics. This study builds on previous work by extending the model to a Fractional Differential Equation (FDE) framework in order to better represent sequential dynamics. The impacts of different factors across multiple fractional orders 𝜇 are analyzed in order to derive approximated analytical solutions for the FDE system using the Homotopy Perturbation Method (HPM). The fractional-order technique allows for a smooth transition between fractional and integer-order dynamics and enables more flexibility for simulating complex reaction-diffusion phenomena. These findings contribute to a deeper understanding of the interaction between reaction kinetics and diffusion processes, opening new possibilities for advanced applications in electrochemical systems.
DOI: https://doi.org/10.22271/math.2025.v6.i2b.226
Pages: 203-208 | Views: 139 | Downloads: 40
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How to cite this article:
Saranya K and R Angel Joy. Fractional order reaction-diffusion dynamics: A study via approximate analytical technique. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(2): 203-208. DOI: 10.22271/math.2025.v6.i2b.226
