This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner. It is designed for graduate students, but will be useful for any researcher interested in the theory of discrete fractional calculus and fractional difference equations.
Rui A. C. Ferreira
discrete calculus Saalschutz formula Laplace transform technique fractional Leibniz formula nonlinear difference equations
“It serves as a study guide for graduate students in the exciting, rather new, area of discrete fractional calculus, giving students plenty of ideas on how to improve and apply the presented inequalities. It also serves as a reference book for researchers working in the area of discrete fractional calculus … . This book will be of utmost interest to any researcher studying discrete fractional calculus.” (Churong Chen, Mathematical Reviews, April, 2023)