Boundary Value Problems - Advanced Fractional Dynamic Equations on Time Scales

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.

List of contents

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.

Product details

• Authors: Svetlin Georgiev
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Release: 13.07.2025
• EAN: 9783031942556
• ISBN: 978-3-0-3194255-6
• No. of pages: 166
• Illustrations: IX, 166 p. 1 illus.
• Series: Synthesis Lectures on Mathematics & Statistics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Analysis, Angewandte Mathematik, Kybernetik und Systemtheorie, Differentialrechnung und -gleichungen, Mathematische Analysis, allgemein, Funktionalanalysis und Abwandlungen, Mathematics, Applications of Mathematics, Differential equations, Dynamical systems, Special Functions, Laplace transform, Fractional Dynamic Calculus, Impulsive Riemann-Liouville Fractional Dynamic Equations, Impulsive Caputo Fractional Dynamic Equations, Bilateral Laplace Transform, Arbitrary Time Scales, Caputo Fractional Dynamic Equations, Fractional Dynamic Equations