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.
| ISBN: | 9783031381959 |
| Publication date: | 17th August 2023 |
| Author: | Svetlin Georgiev |
| Publisher: | Springer an imprint of Springer Nature Switzerland |
| Format: | Hardback |
| Pagination: | 168 pages |
| Series: | Synthesis Lectures on Mathematics & Statistics |
| Genres: |
Mathematics Functional analysis and transforms Differential calculus and equations Cybernetics and systems theory Maths for engineers Calculus and mathematical analysis |