Fractional Calculus In Bioengineering
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Fractional Calculus In Bioengineering
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Author : Richard L. Magin
language : en
Publisher:
Release Date : 2021
Fractional Calculus In Bioengineering written by Richard L. Magin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
"This book is written for bioengineers who wish to learn more about fractional calculus (integration and differentiation of arbitrary order) and the ways in which it can be used to solve biomedical problems. However, the text covers a wide range of topics (bioelectrodes, biomaterials, neural networks, etc.) that I hope will be of interest to other scientists and engineers as well as to bioengineers. Examples and exercises show that with only a small change in notation and perspective, fractional calculus extends many of the modeling capabilities of conventional calculus and integer order differential equations. By combining an "engineer's" approach to fractional calculus - largely through using the Laplace transform - with examples taken from a variety of biomedical applications, this book will help new students learn to use the techniques of fractional calculus. The second edition of this book contains updates and corrections to equations and descriptions from the first edition"--
Fractional Calculus In Bioengineering
DOWNLOAD
Author : Richard L. Magin
language : en
Publisher:
Release Date : 2021
Fractional Calculus In Bioengineering written by Richard L. Magin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
"This book is written for bioengineers who wish to learn more about fractional calculus (integration and differentiation of arbitrary order) and the ways in which it can be used to solve biomedical problems. However, the text covers a wide range of topics (bioelectrodes, biomaterials, neural networks, etc.) that I hope will be of interest to other scientists and engineers as well as to bioengineers. Examples and exercises show that with only a small change in notation and perspective, fractional calculus extends many of the modeling capabilities of conventional calculus and integer order differential equations. By combining an "engineer's" approach to fractional calculus - largely through using the Laplace transform - with examples taken from a variety of biomedical applications, this book will help new students learn to use the techniques of fractional calculus. The second edition of this book contains updates and corrections to equations and descriptions from the first edition"--
Fractional Calculus In Bioengineering
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Author : Richard L. Magin
language : en
Publisher:
Release Date : 2006-01-01
Fractional Calculus In Bioengineering written by Richard L. Magin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Biomedical engineering categories.
Fractional Calculus In Bioengineering Part 1
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Author : R. MAGIN
language : en
Publisher:
Release Date : 2021
Fractional Calculus In Bioengineering Part 1 written by R. MAGIN and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Fractional Calculus In Bioengineering Part 3
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Author : R. MAGIN
language : en
Publisher:
Release Date : 2021
Fractional Calculus In Bioengineering Part 3 written by R. MAGIN and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Fractional Calculus In Bioengineering Part 2
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Author : R. MAGIN
language : en
Publisher:
Release Date : 2021
Fractional Calculus In Bioengineering Part 2 written by R. MAGIN and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Advances In Fractional Calculus
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Author : J. Sabatier
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-28
Advances In Fractional Calculus written by J. Sabatier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-28 with Technology & Engineering categories.
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. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.
Discrete Fractional Calculus
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Author : Piotr Ostalczyk
language : en
Publisher: World Scientific
Release Date : 2015-11-26
Discrete Fractional Calculus written by Piotr Ostalczyk and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Mathematics categories.
The main subject of the monograph is the fractional calculus in the discrete version. The volume is divided into three main parts. Part one contains a theoretical introduction to the classical and fractional-order discrete calculus where the fundamental role is played by the backward difference and sum. In the second part, selected applications of the discrete fractional calculus in the discrete system control theory are presented. In the discrete system identification, analysis and synthesis, one can consider integer or fractional models based on the fractional-order difference equations. The third part of the book is devoted to digital image processing.
Introduction To The Fractional Calculus Of Variations
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Author : Delfim F M Torres
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-09-14
Introduction To The Fractional Calculus Of Variations written by Delfim F M Torres and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.
This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler-Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV.The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature./a
Solved Exercises In Fractional Calculus
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Author : Edmundo Capelas de Oliveira
language : en
Publisher: Springer
Release Date : 2019-05-31
Solved Exercises In Fractional Calculus written by Edmundo Capelas de Oliveira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Technology & Engineering categories.
This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary exercises. The last chapter presents several applications of fractional calculus.