Affiliation:
1. Department of Applied Mathematics, Faculty of Mathematical Sciences Shahrekord University Shahrekord Iran
2. Department of Internal Medicine Shiraz University of Medical Sciences Shiraz Iran
3. Faculty of Mathematics and Statistics Ton Duc Thang University Ho Chi Minh City Vietnam
Abstract
In this paper, a mathematical model is given that depicts the interactions between cancer cells and viruses in the setting of oncolytic virotherapy. The model is separated into three classes, namely, concentrations of uninfected tumor cells in the population “
”, free virus “
”, and cancerous cells infected “
”. Applying Caputo fractional derivative, the model is fractionalized, and using generalized Bessel polynomials, an optimal problem is solved utilizing Lagrange multipliers method. The results show that the presented method has high accuracy and is suitable for solving the nonlinear systems based on partial differential equations especially tumors models.