Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales

Svetlin G. Georgiev

ISBN 10: 3030088928 / ISBN 13: 9783030088927

Editore: Springer 2019-02-01, 2019

Codice articolo 6666-IUK-9783030088927

Riassunto:

Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Beginning with the definitions of forward and backward jump operators, the book builds from Stefan Hilger’s basic theories on time scales and examines recent developments within the field of fractional calculus and fractional equations. Useful tools are provided for solving differential and integral equations as well as various problems involving special functions of mathematical physics and their extensions and generalizations in one and more variables. Much discussion is devoted to Riemann-Liouville fractional dynamic equations and Caputo fractional dynamic equations. 

Intended for use in the field and designed for students without an extensive mathematical background, this book is suitable for graduate courses and researchers looking for an introduction to fractional dynamic calculus and equations on time scales. 

Informazioni sull'autore:

Svetlin Georgiev is in the Department of Differential Equations of the Faculty of Mathematics and Informatics at Sofia University, Bulgaria. 

Dati bibliografici

Titolo: Fractional Dynamic Calculus and Fractional ...
Casa editrice: Springer 2019-02-01
Data di pubblicazione: 2019
Legatura: Paperback
Condizione: New