June 15, 2020 Forthcoming
Reference - 300 Pages - 3 Color & 27 B/W Illustrations
ISBN 9781138491663 - CAT# K350063
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This book presents the most relevant concepts and findings in fractional calculus (FC), fractional differential equations (FDEs) and fractional partial differentia equations (FPDEs) and their applications in soil physics, groundwater hydrology, soil mechanics, irrigation and drainage engineering, earth and environmental sciences and environmental engineering. Readers of this book will be postgraduates, senior undergraduates, academics, researchers and other professionals in these fields. A reader from the above fields will find the most relevant materials necessary for the initial study and immediate applications of the concepts and models with examples.
Introduction. Mathematical preliminaries and special functions. Water flow, solute transport and heat transfer in unsaturated and variably saturated soils. Water flow, solute transport and heat transfer in saturated aquifers. Coupled flow, solute transport and heat transfer in soils and aquifers. Viscoelastic models for mechanics of porous media (soils and aquifers). A collection of analytical and numerical methods for solutions of fractional models and their representations. References.