World Scientific
Skip main navigation

Cookies Notification

We use cookies on this site to enhance your user experience. By continuing to browse the site, you consent to the use of our cookies. Learn More
×
Our website is made possible by displaying certain online content using javascript.
In order to view the full content, please disable your ad blocker or whitelist our website www.worldscientific.com.

System Upgrade on Mon, Jun 21st, 2021 at 1am (EDT)

During this period, the E-commerce and registration of new users may not be available for up to 6 hours.
For online purchase, please visit us again. Contact us at [email protected] for any enquiries.
Fractional Calculus and Waves in Linear Viscoelasticity cover

This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types.

It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography.

This book is likely to be of interest to applied scientists and engineers.

Sample Chapter(s)
Chapter 1: Essentials of Fractional Calculus (376 KB)


Contents:
  • Essentials of Fractional Calculus
  • Essentials of Linear Viscoelasticity
  • Fractional Viscoelastic Models
  • Waves in Linear Viscoelastic Media: Dispersion and Dissipation
  • Waves in Linear Viscoelastic Media: Asymptotic Representations
  • Diffusion and Wave–Propagation via Fractional Calculus
  • Appendices:
    • The Eulerian Functions
    • The Bessel Functions
    • The Error Functions
    • The Exponential Integral Functions
    • The Mittag-Leffler Functions
    • The Wright Functions

Readership: Graduate and PhD students in applied mathematics, classical physics, mechanical engineering and chemical physics; academic institutions; research centers.
Free Access
FRONT MATTER
  • Pages:i–xx

https://doi.org/10.1142/9781848163300_fmatter

No Access
Essentials of Fractional Calculus
  • Pages:1–21

https://doi.org/10.1142/9781848163300_0001

No Access
Essentials of Linear Viscoelasticity
  • Pages:23–55

https://doi.org/10.1142/9781848163300_0002

No Access
Fractional Viscoelastic Models
  • Pages:57–76

https://doi.org/10.1142/9781848163300_0003

No Access
Waves in Linear Viscoelastic Media: Dispersion and Dissipation
  • Pages:77–107

https://doi.org/10.1142/9781848163300_0004

No Access
Waves in Linear Viscoelastic Media: Asymptotic Representations
  • Pages:109–135

https://doi.org/10.1142/9781848163300_0005

No Access
Diffusion and Wave–Propagation via Fractional Calculus
  • Pages:137–154

https://doi.org/10.1142/9781848163300_0006

Free Access
BACK MATTER
  • Pages:155–347

https://doi.org/10.1142/9781848163300_bmatter