Svetlin Georgiev Georgiev Boundary Value Problems

Boundary Value Problems

von Svetlin Georgiev

Advanced Fractional Dynamic Equations on Time Scales

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Beschreibung

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.

In addition, this book:


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.


Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales Demonstrates the concepts to readers using new and updated examples and practical problems

Autor*in

Svetlin Georgiev

Themen in »Boundary Value Problems«

Fractional Dynamic Calculus Arbitrary Time Scales Caputo Fractional Dynamic Equations Impulsive Riemann-Liouville Fractional Dynamic Equations Fractional Dynamic Equations Laplace Transform Bilateral Laplace Transform Impulsive Caputo Fractional Dynamic Equations

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Details

ISBN: 9783031942563
Verlag: Springer International Publishing
Erscheinung: 28.07.2025

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