Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales
2. Auflage 2025
ISBN: 978-3-031-94255-6
Verlag: Springer

Buch, Englisch, 184 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 512 g

Reihe: 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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Georgiev, Svetlin

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.

Über Autor(innen)

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 , and , published by Springer Nature.