I. R. Hassan

A FRACTIONAL NONLOCAL PARTIAL DIFFERENTIAL EQUATION FRAMEWORK FOR ADAPTIVE TRAFFIC FLOW DYNAMICS

Many traffic flow-based nonlocal models consist of microscopic Ordinary Differential Equations (ODEs) and macroscopic Partial Differential Equations (PDEs). In this paper, a novel mathematical model based on fractional and nonlocal partial differential equations (PDEs) is proposed to capture adaptive traffic flow dynam...