Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales

Authors: Georgiev, Svetlin G.

  • Enriches understanding of fractional calculus and fractional dynamic equations
  • Provides useful tools for mathematical physics applications and problems
  • Suitable for graduate courses and for students new to the theory of fractional calculus
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-73954-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-73953-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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. 

About the authors

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


Table of contents (11 chapters)

  • Elements of Time Scale Calculus

    Georgiev, Svetlin G.

    Pages 1-98

    Preview Buy Chapter 30,19 €
  • The Laplace Transform on Time Scales

    Georgiev, Svetlin G.

    Pages 99-156

    Preview Buy Chapter 30,19 €
  • Convolution on Time Scales

    Georgiev, Svetlin G.

    Pages 157-215

    Preview Buy Chapter 30,19 €
  • The Riemann–Liouville Fractional Δ-Integral and the Riemann–Liouville Fractional Δ-Derivative on Time Scales

    Georgiev, Svetlin G.

    Pages 217-254

    Preview Buy Chapter 30,19 €
  • Cauchy-Type Problems with the Riemann–Liouville Fractional Δ-Derivative

    Georgiev, Svetlin G.

    Pages 255-262

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-73954-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-73953-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-73954-0
DOI
10.1007/978-3-319-73954-0
Hardcover ISBN
978-3-319-73953-3
Edition Number
1
Number of Pages
VIII, 360
Topics