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Boundary Value Problems - Svetlin Georgiev

Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales
Buch | Hardcover
X, 184 Seiten
2025 | 2. Second Edition 2025
Springer International Publishing (Verlag)
978-3-031-94255-6 (ISBN)
CHF 59,90 inkl. MwSt

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.

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.

Elements of Time Scale Calculus and Fractional Time Scale Calculus.- Impulsive Riemann-Liouville Fractional Dynamic Equations.- Boundary Value Problems for Caputo Fractional Dynamic Equations.- Impulsive Caputo Fractional Dynamic Equations.

Erscheinungsdatum
Reihe/Serie Synthesis Lectures on Mathematics & Statistics
Zusatzinfo X, 184 p. 1 illus.
Verlagsort Cham
Sprache englisch
Maße 168 x 240 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik
Schlagworte Arbitrary Time Scales • Bilateral Laplace Transform • Caputo Fractional Dynamic Equations • Fractional Dynamic Calculus • Fractional Dynamic Equations • Impulsive Caputo Fractional Dynamic Equations • Impulsive Riemann-Liouville Fractional Dynamic Equations • Laplace transform
ISBN-10 3-031-94255-8 / 3031942558
ISBN-13 978-3-031-94255-6 / 9783031942556
Zustand Neuware
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