Boundary Value Problems

Essential Fractional Dynamic Equations on Time Scales
2024
ISBN: 978-3-031-38195-9
Verlag: Springer Nature Switzerland

Buch, Englisch, 163 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 476 g

Reihe: Synthesis Lectures on Mathematics & Statistics

This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Georgiev, Svetlin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie

Inhaltsverzeichnis

The Laplace Transform on Time Scales.- Generalized Convolutions on Time Scales.- Elements of Fractional Dynamic Calculus on Time Scales.- Boundary Value Problems for Riemann-Liouville Fractional Dynamic Equations.

Über Autor(innen)

Svetlin G. Georgiev, Ph.D., is an Assistant Professor in the Faculty of Mathematics and Informatics at Sofia University. He was previously affiliated with Sorbonne University. He is the author of several books, including, and , published by Springer Nature. His current research interests include harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.