On Solutions of Biological Models Using Reproducing Kernel Hilbert Space Method

Abstract

Differential equations (DEs, for short) are becoming more and more indispensable for modeling real-life problems. Modeling and then analyzing these DEs help scientists to understand and make predictions about the system that they want to analyze. And this is possible only in one case when their solutions are available. However, the majority of fractional differential equations lack exact solutions. This chapter’s goal is to introduce the reproducing kernel Hilbert space method (RKHSM) for some systems that have significant applications in biology. The proposed method’s error estimations and convergence analyses are discussed. The assessment of the RKHSM is made by testing some illustrative applications. The results suggest that the RKHSM is an efficient and highly convenient method to solve the fractional systems arising in biology. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023.