Boundary Value Problems: Advanced Fractional Dynamic Equations on Time Scales

Name: Boundary Value Problems: Advanced Fractional Dynamic Equations on Time Scales
Brand: Springer
SKU: 9783031382024
Price: 2811.0 INR
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by Svetlin Georgiev

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ISBN13: 9783031382024
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: August 18, 2024
Pages: 147
Original Price: EUR 39.99
Language: English
Edition: 2024
Item Weight: 256 grams
BISAC Subject(s): Mathematical Analysis, Differential Equations / General, and System Theory

About The Book

From the Back Cover
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.

About The Author

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.

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