Heat conduction plays an important role in energy transfer at the macro, micro and nano scales. This book collates research results developed by scientists from different countries but with common research interest in the modelling of heat conduction problems. The results reported encompass heat conduction problems related to the Stefan problem, phase change materials related to energy consumption in buildings, the porous media problem with Bingham plastic fluids, thermosolutal convection, rewetting problems and fractional models with singular and non-singular kernels. The variety of...

Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels. This is a contributed book of seventh chapters encompassing local and no-local diffusion phenomena modelled with integer-order (local) and non-local operators. This book collates research results developed by scientists from different countries but with common research interest in modelling of diffusion problems. The results reported encompass diffusion problems related to efficient numerical modelling, hypersonic flows, approximate analytical solutions of solvent diffusion in...

This book addresses different applied problems in order to demonstrate the feasibility of fractional calculus’ use, irrespective of the type of memory kernels used, to model varieties of natural phenomena and new processes emerging in advanced technologies. In this context, the book’s focus is on modelling, adequate results, and interpretations, rather than theorems and proofs.

The book includes a total of 12 chapters, representing various aspects of applied fractional modelling and covering important issues in modern technologies to provide a better understanding of...