The aim of this book is to present a series of problems not yet investigated in the field of fractional differential equations. There are presented also a series of examples in the field of symbolic computation, written in Maple and Mathematica. It is introduced a new definition of the fractional derivative, in terms of translation operator. We introduced a new method, based on decomposition method and Laplace transform is presented in our previous LAP book. We studied also the fractional differential equations with the aid small parameter method. We used also the power series method. In the...