03524nam a22006015i 4500 978-3-031-38196-6 DE-He213 20251030110811.0 cr nn 008mamaa 230816s2024 sz | s |||| 0|eng d 9783031381966 978-3-031-38196-6 10.1007/978-3-031-38196-6 doi QA1-939 PB bicssc MAT000000 bisacsh PB thema Georgiev, Svetlin. author. aut http://id.loc.gov/vocabulary/relators/aut 65601 Boundary Value Problems [electronic resource] : Essential Fractional Dynamic Equations on Time Scales / by Svetlin Georgiev. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. VIII, 163 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 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. 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. Mathematics. 65523 Mathematical analysis. 64178 Differential equations. 65602 Dynamical systems. Dynamics. 65524 Nonlinear theories. 65525 Special functions. 65603 Mathematics. 65523 Analysis. 65604 Differential Equations. 65605 Dynamical Systems. Applied Dynamical Systems. 65530 Special Functions. 65606 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031381959 Printed edition: 9783031381973 Printed edition: 9783031381980 Synthesis Lectures on Mathematics & Statistics, 1938-1751 65607 https://doi.org/10.1007/978-3-031-38196-6 ZDB-2-SXSC 56232 56232