Discrete Fractional Calculus and Fractional Difference Equations

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.

Résumé

"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 mightuse it as a source of references and inspiration for further research." (Peter Massopust, zbMATH 1492.39001, 2022)

Contenu

1. Discrete Calculus.- 2. Discrete Fractional Calculus.- 3. Fractional Difference Equations.- 4. Calculus of Variations.- References.