International Journal Of Drug Delivery Technology
Volume 16, Issue 12s, 2026 | PG 337-342

Fractional Analysis Of Brain Tumor–Immune System Interaction

Infanta Nancy K1*, Joice Nirmala R2

1Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu - 641018. Email: infantaknancy@gmail.com

2Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu – 641018. Email: joys.maths.bu@gmail.com

*Corresponding Author: Infanta Nancy K, Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu - 641018. Email: infantaknancy@gmail.com

ABSTRACT

Brain tumors such as glioblastoma grow in complex ways that depend on previous conditions, which cannot be fully explained by traditional models. In this study, we use a fractional-order mathematical model to better understand the interaction between brain tumors and the immune system. The model incorporates past effects through Caputo fractional derivatives. The existence and uniqueness of the solution are established using the contraction principle. In addition, the stability of the system is analyzed under certain conditions. To support the theoretical results, numerical simulations are performed using the predictor–corrector method.

Keywords: Fractional order system, Caputo derivative, Tumor – immune interaction, Glioblastoma, Stability Analysis, Numerical simulation.

How to cite this article: Infanta Nancy K and Joice Nirmala R, “Fractional Analysis of Brain Tumor–Immune System Interaction” Int J Drug Deliv Technol. 2026;16(12s): 337-342. DOI: 10.25258/ijddt.16.12s.37.

Source of support: Nil.

Conflict of interest: None