Motion of an ellipsoidal particle in shear flow: Analyzing memory effect influence through exact solutions...

This study introduces an approach to extend the Keller and Skalak (KS) theory by integrating the modified Riemann-Liouville fractional derivative. Our focus is on investigating the transition of red blood cells from flipping to stationary motion within shear flows. Expanding upon the predictions outlined by KS regarding flipping periods and alignment with flow, our research aims to delve deeper into this transition process, which remains largely unexplored experimentally. The rationale for employing fractional derivatives stems from their capacity to capture memory effects and nonlocal interactions, thus providing a more nuanced modeling framework for complex particle dynamics.