Discovery Projects - Grant ID: DP180103858

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP180103858

Funding Status
Closed

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Funded Activity Summary

A unifying framework for generalised distributed-order fractional models. This project aims to develop a unifying theoretical framework for generalised fractional models using measure theory and a new class of distributed-order nonlocal operators to simulate anomalous transport processes in heterogeneous and anisotropic porous media. The project expects to generate a mathematical foundation for fractional modelling and clarity on the role of, and relationship between, the many variants of fractional operators used in modern practice and how to impose boundary conditions on finite domains. Expected outcomes of the project include an evaluation of dimensionality and/or complexity reduction of the governing equations in fractional transport models with a focus on groundwater applications.

Funded Activity Details

Start Date: 17-05-2018

End Date: 31-12-2021

Funding Scheme: Discovery Projects

Funding Amount: $364,029.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Numerical Solution of Differential and Integral Equations | Dynamical Systems in Applications | Numerical and Computational Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Environmental Sciences | Expanding Knowledge in the Mathematical Sciences

Other Keywords

Dynamical Systems in Applications | Expanding Knowledge in the Environmental Sciences | Expanding Knowledge in the Mathematical Sciences | Numerical Solution of Differential and Integral Equations | Numerical and Computational Mathematics

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