Boundary Value Problems: Advanced Fractional Dynamic Equations on Time Scales (Synthesis Lectures on Mathematics & Statistics) - Hardcover

Georgiev, Svetlin

Hardcover

ISBN 10: 3031942558 ISBN 13: 9783031942556

Publisher: Springer, 2025

Synopsis

This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. In a new chapter, the author introduces time scale calculus and fractional time scale calculus. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. This second edition includes new and updated examples and problems.

About this title

About the Author

Svetlin G. Georgiev, Ph.D., is a mathematician whose current research focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. His prior affiliations include Sofia University and Sorbonne University. He is the author of several books, including Real Quaternion Calculus Handbook, Theory of Distributions, Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales, and Functional Dynamic Equations on Time Scales, published by Springer Nature.

From the Back Cover

This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. In a new chapter, the author introduces time scale calculus and fractional time scale calculus. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. This second edition includes new and updated examples and problems.

In addition, this book:

• Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines
• Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales
• Demonstrates the concepts to readers using new and updated examples and practical problems

Edition details

• Publisher: Springer
• Publication date: 2025
• Language: English
• ISBN 10: 3031942558
• ISBN 13: 9783031942556
• Binding: Hardcover
• Edition number: 2
• Number of pages: 194