Chapter 11 - Groundwater Flow Within a Fracture, Matrix Rock and Leaky Aquifers: Fractal Geometry

Abstract

New trends of fractional differentiation based on the fractional differential operators with non-local and non-singular kernel are applied to modified the model of groundwater flow in a fractal dual media aquifers. The analysis of existence and uniqueness of solutions for these new models are presented in detail. New numerical schemes are developed and used to solve the new models and finally numerical simulations are presented for different values of fractional orders.