General Fractional Derivatives with Applications in Viscoelasticity

"The book can be useful as a consulting text for definitions and references, which has a relative value in this internet-based open-access era. The naive reader will have to seek mathematical or physically based motivation elsewhere." --zbMATH Open

"From the list it is obvious that it was not possible for the authors to list detailed properties, or the spaces of functions where the listed derivatives can be used. Also there are no proofs of the theorems stated. In this respect the book may be viewed as a handbook of various definitions of fractional derivatives. We stress that a rather large part of the book is devoted to fractional derivatives of variable order. Applications of fractional calculus in visco-elasticity are presented in the last chapter. The presentation is brief and shows the main results from the creep and stress relaxation experiments in linear visco-elasticity of fractional type.

Having this in mind, we can say that the present book is suited for students and researchers in the field of fractional calculus who are interested in new contributions to the field. For more properties of the fractional derivatives listed in the book, the reader must consult the original references, given in the well-prepared reference list." --Mathematical Reviews Clippings, March 2022