Fractional Partial Differential Equations(FPDEs)are emerging as a new powerful tool for modeling many difficult complex systems,i.e.,systems with overlapping microscopic and macroscopic scales or syst
After reviewing experiments involving thin films of suspensions and solutions,we propose ways to construct gradient dynamical models for liquid films of suspensions and solutions,as well as for films
Gravity-driven thin film flow of a suspension of particles down an incline can be described by a system of conservation law to the leading order.Solutions to this system display shocks with rich struc
The dynamics of a complex network is generally very complicated due to the self-dynamics of the node and their interactions.Many existing conditions for reaching certain desirable dynamics in a comple