Posted by **MoneyRich** at Dec. 17, 2014

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.

Posted by **interes** at Dec. 18, 2016

English | 2014 | ISBN: 9814551074 | 500 pages | PDF | 15 MB

Posted by **arundhati** at Feb. 6, 2015

2011 | ISBN-10: 3642205445, 3642444601 | 644 pages | PDF | 5 MB

Posted by **ksveta6** at June 10, 2014

2014 | ISBN: 9814551074 | English | 500 pages | PDF | 15 MB

Posted by **AvaxGenius** at Sept. 7, 2018

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.

Posted by **AvaxGenius** at Aug. 15, 2018

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.

Posted by **step778** at Aug. 15, 2018

2009 | pages: 544 | ISBN: 9048132924 | PDF | 9,4 mb

Posted by **step778** at Aug. 10, 2018

2015 | pages: 427 | ISBN: 3319267205 | PDF | 4,4 mb

Posted by **AvaxGenius** at July 24, 2018

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.

Posted by **AvaxGenius** at July 2, 2018

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.