Numerical Analysis of Fractional Models for Radiation Therapy in Prostate Cancer

Source abstract

In This paper we proposes a new formulation of the Caputo derivative that include a weighted memory function,our aim is to improve fractional models of radiation therapy for prostate cancer. The mathematical consistency of the operator is established through theoretical analysis, and its practical relevance is examined using numerical simulations by using MATLAB. The findings indicate that the modified model achieves faster reduction in tumor size, smoother adjustment of radiation level, and lower toxicity compared with traditional fractional approaches. By combining fractional calculus with biomedical applications, the study provides a framework that can support predictive oncology and contribute to the design of personalized treatment strategies.