Boundary Value Problems: Advanced Fractional Dynamic Equations on Time Scales (Synthesis Lectures on Mathematics & Statistics) - Softcover

Buch 59 von 72: Synthesis Lectures on Mathematics & Statistics

Georgiev, Svetlin

 
9783031382024: Boundary Value Problems: Advanced Fractional Dynamic Equations on Time Scales (Synthesis Lectures on Mathematics & Statistics)
Softcover
ISBN 10: 3031382021 ISBN 13: 9783031382024
Verlag: Springer, 2024

Inhaltsangabe

This book explores 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. The author provides an introduction to each fractional dynamic equation before delving into the problems. 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.

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Über die Autorin bzw. den Autor

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 Real Quaternion Calculus Handbook, Theory of Distributions, Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales, and Functional Dynamic Equations on Time Scales, 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.

Von der hinteren Coverseite

This book explores 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. The author provides an introduction to each fractional dynamic equation before delving into the problems. 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.


In addition, this book: 
  • Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines
  • Explores boundary value problems for advanced fractional dynamic equations on arbitrary time scales
  • Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales
About the Author:

Svetlin 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 Real Quaternion Calculus Handbook, Theory of Distributions, Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales, and Functional Dynamic Equations on Time Scales, 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.

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Verlag
Springer
Erscheinungsdatum
2024
Sprache
Englisch
ISBN 10 
3031382021
ISBN 13 
9783031382024
Einband
Taschenbuch
Anzahl der Seiten
156
Kontakt zum Hersteller
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Poststr. 9
Darmstadt
64293
Deutschland

Weitere beliebte Ausgaben desselben Titels

9783031381997: Boundary Value Problems: Advanced Fractional Dynamic Equations on Time Scales (Synthesis Lectures on Mathematics & Statistics)

Vorgestellte Ausgabe

ISBN 10:  3031381998 ISBN 13:  9783031381997
Verlag: Springer, 2023
Hardcover