“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) “The book is well-written and the concepts used are sufficiently motivated so that readers unfamiliar with the topic will find easy access to it. … Advanced undergraduate and beginning graduate students will find the book quite accessible while researchers in fractional calculus might use it as a source of references and inspiration for further research.” (Peter Massopust, zbMATH 1492.39001, 2022)