Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales

Svetlin Georgiev

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Hardback

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English

Springer International Publishing AG
29 July 2025

Cybernetics & systems theory; Functional analysis & transforms; Differential calculus & equations; Applied mathematics

Series: Synthesis Lectures on Mathematics & Statistics

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.

By: Svetlin Georgiev
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Second Edition 2025
Dimensions: Height: 240mm, Width: 168mm,
ISBN: 9783031942556
ISBN 10: 3031942558
Series: Synthesis Lectures on Mathematics & Statistics
Pages: 184
Publication Date: 29 July 2025
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.