Advances in Fractional Calculus

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering by J. Sabatier
English | August 24, 2007 | ISBN: 0801332036 | ASIN: 1402060416 | 552 Pages | PDF | 28 MB

In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation.

Fractional Calculus: An Introduction for Physicists, 2nd Edition (repost)  eBooks & eLearning

Posted by interes at Dec. 18, 2016
Fractional Calculus: An Introduction for Physicists, 2nd Edition (repost)

Fractional Calculus: An Introduction for Physicists, 2nd Edition by Richard Herrmann
English | 2014 | ISBN: 9814551074 | 500 pages | PDF | 15 MB

Functional Fractional Calculus (2nd edition)  eBooks & eLearning

Posted by arundhati at Feb. 6, 2015
Functional Fractional Calculus (2nd edition)

Shantanu Das, "Functional Fractional Calculus (2nd edition)"
2011 | ISBN-10: 3642205445, 3642444601 | 644 pages | PDF | 5 MB

Fractional Calculus: An Introduction for Physicists (2nd Edition)  eBooks & eLearning

Posted by ksveta6 at June 10, 2014
Fractional Calculus: An Introduction for Physicists (2nd Edition)

Fractional Calculus: An Introduction for Physicists (2nd Edition) by Richard Herrmann
2014 | ISBN: 9814551074 | English | 500 pages | PDF | 15 MB
Erdélyi–Kober Fractional Calculus: From a Statistical Perspective, Inspired by Solar Neutrino Physics

Erdélyi–Kober Fractional Calculus: From a Statistical Perspective, Inspired by Solar Neutrino Physics by A. M. Mathai
English | PDF,EPUB | 2018 | 132 Pages | ISBN : 9811311587 | 11.47 MB

This book focuses on Erdélyi–Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of data from the Super-Kamiokande solar neutrino experiment lead to the development of anomalous diffusion and reaction in terms of fractional calculus. The new statistical perspective of Erdélyi–Kober fractional operators outlined in this book will have fundamental applications in the theory of anomalous reaction and diffusion processes dealt with in physics.

Intelligent Numerical Methods: Applications to Fractional Calculus (Repost)  eBooks & eLearning

Posted by AvaxGenius at Aug. 15, 2018
Intelligent Numerical Methods: Applications to Fractional Calculus (Repost)

Intelligent Numerical Methods: Applications to Fractional Calculus By George A. Anastassiou
English | EPUB | 2016 | 427 Pages | ISBN : 3319267205 | 9.11 MB

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.

New Trends in Nanotechnology and Fractional Calculus Applications (Repost)  eBooks & eLearning

Posted by step778 at Aug. 15, 2018
New Trends in Nanotechnology and Fractional Calculus Applications (Repost)

Dumitru Baleanu, Ziya B. Guvenc, J.A. Tenreiro Machado, "New Trends in Nanotechnology and Fractional Calculus Applications"
2009 | pages: 544 | ISBN: 9048132924 | PDF | 9,4 mb

Intelligent Numerical Methods: Applications to Fractional Calculus (Repost)  eBooks & eLearning

Posted by step778 at Aug. 10, 2018
Intelligent Numerical Methods: Applications to Fractional Calculus (Repost)

George A. Anastassiou, Ioannis K. Argyros, "Intelligent Numerical Methods: Applications to Fractional Calculus"
2015 | pages: 427 | ISBN: 3319267205 | PDF | 4,4 mb
Advances in Synchronization of Coupled Fractional Order Systems: Fundamentals and Methods

Advances in Synchronization of Coupled Fractional Order Systems: Fundamentals and Methods by Rafael Martínez-Guerra
English | PDF,EPUB | 2018 | 196 Pages | ISBN : 3319939459 | 30.34 MB

After a short introduction to the fundamentals, this book provides a detailed account of major advances in applying fractional calculus to dynamical systems. Fractional order dynamical systems currently continue to gain further importance in many areas of science and engineering.

The Variable-Order Fractional Calculus of Variations  eBooks & eLearning

Posted by AvaxGenius at July 2, 2018
The Variable-Order Fractional Calculus of Variations

The Variable-Order Fractional Calculus of Variations by Ricardo Almeida
English | PDF,EPUB | 2018 (2019 Edition) | 135 Pages | ISBN : 3319940058 | 5.03 MB

​The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided.