TY  - BOOK
AU  - Georgiev,Svetlin
ED  - SpringerLink (Online service)
TI  - Boundary Value Problems: Essential Fractional Dynamic Equations on Time Scales 
T2  - Synthesis Lectures on Mathematics & Statistics,
SN  - 9783031381966
AV  - QA1-939 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Mathematics
KW  - Mathematical analysis
KW  - Differential equations
KW  - Dynamical systems
KW  - Dynamics
KW  - Nonlinear theories
KW  - Special functions
KW  - Analysis
KW  - Differential Equations
KW  - Dynamical Systems
KW  - Applied Dynamical Systems
KW  - Special Functions
N1  - 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
N2  - This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations. In addition, this book: 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
UR  - https://doi.org/10.1007/978-3-031-38196-6
ER  -