Studies in Computational Intelligence

Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

Authors: Anastassiou, George A.

Free Preview
  • Includes recent original research on abstract fractional calculus, inequalities, and approximations
     
    Presents the strong left and right calculus for Banach space valued functions
     
    Offers a valuable resource for researchers and graduate students alike

Buy this book

eBook $139.00
price for USA in USD
  • ISBN 978-3-319-66936-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-66935-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $179.99
price for USA in USD
  • ISBN 978-3-319-88349-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently.
This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.

Reviews

“In this brief monograph the author presents a strong theory of abstract fractional calculus for Banach–valued functions in which the integrals used to define the fractional derivatives are Bochner type integrals. His presentation includes left and right Caputo type and Canavati type fractional derivatives. … Each chapter is self-contained and can be read independently and, moreover, the monograph is suitable for the use in related graduate Classes.” (Mathematical Reviews, August, 2018)​

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook $139.00
price for USA in USD
  • ISBN 978-3-319-66936-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-319-66935-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $179.99
price for USA in USD
  • ISBN 978-3-319-88349-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
Authors
Series Title
Studies in Computational Intelligence
Series Volume
734
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-66936-6
DOI
10.1007/978-3-319-66936-6
Hardcover ISBN
978-3-319-66935-9
Softcover ISBN
978-3-319-88349-6
Series ISSN
1860-949X
Edition Number
1
Number of Pages
X, 319
Topics