Fractional Calculus: An Introduction For Physicists (Fourth Edition)

Fractional Calculus presents a concise introduction to the basic methods and strategies in fractional calculus which enables the reader to catch up with the state-of-the-art in this field and to participate and contribute to the development of this exciting research area. It is especially devoted to the application of fractional calculus on physical problems. The fractional concept is applied to subjects in classical mechanics, image processing, folded potentials in cluster physics, infrared spectroscopy, group theory, quantum mechanics, nuclear physics, hadron spectroscopy up to quantum field theory and will surprise the reader with new intriguing insights.This new, extended edition includes additional chapters about the optical model in view of fractional calculus, using machine learning to detect anti-causal sound samples, remarks on covariance in non-local field theories and a completely new section on numerical algorithms for fractional calculus. Motivated by positive responses, new exercises with elaborated solutions are added, significantly supporting a deeper understanding of the general aspects of the theory.Besides students and researchers in this field, this book will also be useful as a supporting medium for teachers teaching courses devoted to this subject.