Discrete Fractional Calculus and Fractional Difference Equations

The 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.

Format: Paperback / softback
Length: 88 pages
Publication date: 15 March 2022
Publisher: Springer Nature Switzerland AG

This concise and comprehensive text aims to seamlessly blend the theories of fractional calculus and discrete calculus, presenting a valuable resource for advanced graduate students and researchers alike. With its focus on discrete fractional calculus and fractional difference equations, it offers a thorough exploration of these intricate mathematical concepts.

The text begins by introducing the fundamental principles of fractional calculus, including the definition of fractional operators, fractional differentiation, and fractional integration. It then delves into the realm of discrete calculus, covering topics such as discrete dynamical systems, difference equations, and the theory of Markov chains.

By seamlessly integrating these two branches of mathematics, the text provides a comprehensive framework for studying a wide range of phenomena in fields such as physics, engineering, and mathematics. It offers a rich set of tools and techniques that enable researchers to analyze and solve complex problems with greater efficiency and accuracy.

Throughout the text, examples and exercises are provided to illustrate the theoretical concepts and help readers grasp the practical applications of discrete fractional calculus and fractional difference equations. These examples range from simple to challenging, ensuring that readers of all levels can benefit from the material.

In conclusion, this text serves as a valuable resource for advanced graduate students and researchers interested in the theory of discrete fractional calculus and fractional difference equations. By providing a comprehensive and integrated approach to these topics, it enables readers to deepen their understanding of these complex mathematical concepts and apply them to real-world problems. Whether you are a student seeking to expand your knowledge in this field or a researcher looking to advance your research, this text is an essential read.

Weight: 168g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030927233
Edition number: 1st ed. 2022