This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for those interested in hydrology, hydraulics and fluid mechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of ...
In this study dimensionally consistent governing equations of continuity and motion for transient so...
This monograph provides the most recent and up-to-date developments on fractional differential and f...
This paper presents mass-time fractional partial differential equations (fPDEs) formulated in a mate...
This paper presents solutions of the fractional partial differential equation (fPDE) for analysing w...
This paper presents solutions of the fractional partial differential equation (fPDE) for analysing w...
Fractional derivatives can be viewed either as a handy extension of classical calculus or, more deep...
We present a partial panoramic view of possible contexts and applications of the fractional calculus...
The fractional calculus (FC) goes back to the beginning of the theory of differential calculus. Neve...
This book contains mathematical preliminaries in which basic definitions of fractional derivatives a...
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrar...
The non-Darcian flow and solute transport in geometrically nonlinear porous media are modeled with R...
Includes bibliographical references and index.Volume 1. Basic theory -- volume 2. Fractional differe...
Fractional Calculus is a new growing field. Up to this point, researchers, scientists, and engineers...
This report surveys recent advances on numerical solution of fractional PDEs, which describe “anomal...
This work consists of a study of particular aspects of nonlinear flow equations and a non-traditiona...
In this study dimensionally consistent governing equations of continuity and motion for transient so...
This monograph provides the most recent and up-to-date developments on fractional differential and f...
This paper presents mass-time fractional partial differential equations (fPDEs) formulated in a mate...
This paper presents solutions of the fractional partial differential equation (fPDE) for analysing w...
This paper presents solutions of the fractional partial differential equation (fPDE) for analysing w...
Fractional derivatives can be viewed either as a handy extension of classical calculus or, more deep...
We present a partial panoramic view of possible contexts and applications of the fractional calculus...
The fractional calculus (FC) goes back to the beginning of the theory of differential calculus. Neve...
This book contains mathematical preliminaries in which basic definitions of fractional derivatives a...
Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrar...
The non-Darcian flow and solute transport in geometrically nonlinear porous media are modeled with R...
Includes bibliographical references and index.Volume 1. Basic theory -- volume 2. Fractional differe...
Fractional Calculus is a new growing field. Up to this point, researchers, scientists, and engineers...
This report surveys recent advances on numerical solution of fractional PDEs, which describe “anomal...
This work consists of a study of particular aspects of nonlinear flow equations and a non-traditiona...
In this study dimensionally consistent governing equations of continuity and motion for transient so...
This monograph provides the most recent and up-to-date developments on fractional differential and f...
This paper presents mass-time fractional partial differential equations (fPDEs) formulated in a mate...