2025, Vol. 6, Issue 1, Part D
Dynamics of innate immune response to Parkinson’s disease with therapeutic approach using Atangana-Baleanu fractional derivative
Author(s): T Saradhadevi and A Kalavathi
Abstract: This paper presents a fractional variable-order model of Parkinson’s disease using the Atangana-Baleanu fractional derivative to capture complex disease dynamics. The model incorporates therapeutic strategies, allowing it to represent the progression of the disease with greater flexibility than traditional integer-order models. By applying fixed point theory and nonlinear analysis, the study establishes the existence and Ulam-Hyers stability of solutions, ensuring robustness under varied conditions. Numerical simulations demonstrate that the model can efficiently simulate the effects of various treatments, providing insight for decision-makers on optimal intervention strategies.
DOI: https://doi.org/10.22271/math.2025.v6.i1d.209
Pages: 322-330 | Views: 55 | Downloads: 17
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How to cite this article:
T Saradhadevi and A Kalavathi. Dynamics of innate immune response to Parkinson’s disease with therapeutic approach using Atangana-Baleanu fractional derivative. Journal of Mathematical Problems, Equations and Statistics. 2025; 6(1): 322-330. DOI: 10.22271/math.2025.v6.i1d.209
