This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables consider

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and

Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found appl

This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equation

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential e