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Boundary Value Problems de Svetlin Georgiev

Boundary Value Problems: Synthesis Lectures on Mathematics & Statistics

Autor Svetlin Georgiev
en Limba Engleză Paperback – 18 aug 2024
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.
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Specificații

ISBN-13: 9783031382024
ISBN-10: 3031382021
Pagini: 147
Dimensiuni: 168 x 240 mm
Editura: Springer International Publishing AG
Seria Synthesis Lectures on Mathematics & Statistics

Cuprins

The Laplace Transform on Time Scales.- Generalized Convolutions on Time Scales.- Elements of Fractional Dynamic Calculus on Time Scales.- Boundary Value Problems for Riemann-Liouville Fractional Dynamic Equations.

Notă biografică

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.


Textul de pe ultima copertă

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.

Caracteristici

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 Provides an introduction to boundary value problems for fractional dynamic equations on arbitrary time scales