Synthesis Lectures on Mathematics & Statistics: Essential Fractional Dynamic Equations on Time Scales

Georgiev, Svetlin

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.

Details

Published by: Springer

Publication Date: 2024-08-18

Format: Paperback

ISBN-13: 9783031381980

DOI: 10.1007/978-3-031-38196-6

Dimensions: 240cm x168cm

Pages: 163