04024nam a22005775i 4500 978-3-031-38200-0 DE-He213 20251030110811.0 cr nn 008mamaa 230816s2024 sz | s |||| 0|eng d 9783031382000 978-3-031-38200-0 10.1007/978-3-031-38200-0 doi QA1-939 PB bicssc MAT000000 bisacsh PB thema Georgiev, Svetlin. author. aut http://id.loc.gov/vocabulary/relators/aut 65608 Boundary Value Problems [electronic resource] : Advanced Fractional Dynamic Equations on Time Scales / by Svetlin Georgiev. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. VIII, 147 p. 1 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Mathematics & Statistics, 1938-1751 Impulsive Riemann-Liouville Fractional Dynamic Equations -- Boundary Value Problems for Caputo Fractional Dynamic Equations -- Impulsive Caputo Fractional Dynamic Equations. 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. Mathematics. 65523 Mathematical analysis. 64178 Differential equations. 65609 Dynamical systems. Special functions. 65610 Mathematics. 65523 Analysis. 65611 Differential Equations. 65612 Dynamical Systems. Special Functions. 65613 Applications of Mathematics. 65529 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031381997 Printed edition: 9783031382017 Printed edition: 9783031382024 Synthesis Lectures on Mathematics & Statistics, 1938-1751 65614 https://doi.org/10.1007/978-3-031-38200-0 ZDB-2-SXSC 56233 56233