Georgiev Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales
2. Auflage 2025
ISBN: 978-3-031-94256-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 184 Seiten

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

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.