MURI Research Areas Methodology Theory of nonlocal operators and stochastic interpretation of fractional operators. Nonlocal Linear Convection-Diffusion Fractional Diffusion Profile Numerical solution of FPDEs with emphasis on variable fractional order. Fractional Phase Field/Navier Stokes: Rising Bubble Fractional Phase Field/Navier Stokes: Variable Order Fast solvers for dense linear systems with approximately linear/quasi-linear computational complexity. Stochastic FPDEs and determination of the fractional order directly by available data. Nonlocal Dispersion Application of the integrated framework to fluid and solid mechanics problems, fluid-structure interactions, two-phase flows, turbulence and reactive systems with front propagation. Flow-Structure Interactions Two-Phase Flows Fractional Phase-Field Models Fractional-Order Visco-Elasto-Plasticity Application to a Two-Member Truss Turbulence Modelling Fractional Turbulence Modelling Application to Hydrology Anisotropic_Model for Groundwater_Flow High performance computing & developing opensource software for fractional problems. F-Nektar (Fractional Nektar) Nektar++