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Author : R. MAGIN
Publisher :
ISBN 13 : 9781567005103
Total Pages : pages
Book Rating : 4.0/5 (51 download)
Download or read book FRACTIONAL CALCULUS IN BIOENGINEERING, PART 3 written by R. MAGIN and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard L. Magin
Publisher :
ISBN 13 : 9781567002157
Total Pages : 684 pages
Book Rating : 4.0/5 (21 download)
Download or read book Fractional Calculus in Bioengineering written by Richard L. Magin and published by . This book was released on 2006-01-01 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard L. Magin
Publisher :
ISBN 13 : 9781567004953
Total Pages : pages
Book Rating : 4.0/5 (49 download)
Download or read book Fractional Calculus in Bioengineering written by Richard L. Magin and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--
Author : R. MAGIN
Publisher :
ISBN 13 : 9781567005066
Total Pages : pages
Book Rating : 4.0/5 (5 download)
Download or read book FRACTIONAL CALCULUS IN BIOENGINEERING, PART 1 written by R. MAGIN and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. MAGIN
Publisher :
ISBN 13 : 9781567005080
Total Pages : pages
Book Rating : 4.0/5 (5 download)
Download or read book FRACTIONAL CALCULUS IN BIOENGINEERING, PART 2 written by R. MAGIN and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manuel Duarte Ortigueira
Publisher : Springer Science & Business Media
ISBN 13 : 9400707479
Total Pages : 159 pages
Book Rating : 4.4/5 (7 download)
Download or read book Fractional Calculus for Scientists and Engineers written by Manuel Duarte Ortigueira and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a practical overview of Fractional Calculus as it relates to Signal Processing
Author : Jason H. T. Bates
Publisher : Cambridge University Press
ISBN 13 : 0521509602
Total Pages : 237 pages
Book Rating : 4.5/5 (215 download)
Download or read book Lung Mechanics written by Jason H. T. Bates and published by Cambridge University Press. This book was released on 2009-07-30 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern quantitative study of lung mechanics, relating mathematical modeling and engineering principles to lung function, structure, mechanics, and disease.
Author : Francesco Mainardi
Publisher : World Scientific
ISBN 13 : 1908978570
Total Pages : 368 pages
Book Rating : 4.9/5 (89 download)
Download or read book Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models written by Francesco Mainardi and published by World Scientific. This book was released on 2010-05-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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./a
Author : Angelo Carpi
Publisher : BoD – Books on Demand
ISBN 13 : 9533072687
Total Pages : 664 pages
Book Rating : 4.5/5 (33 download)
Download or read book Progress in Molecular and Environmental Bioengineering written by Angelo Carpi and published by BoD – Books on Demand. This book was released on 2011-08-01 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an example of the successful and rapid expansion of bioengineering within the world of the science. It includes a core of studies on bioengineering technology applications so important that their progress is expected to improve both human health and ecosystem. These studies provide an important update on technology and achievements in molecular and cellular engineering as well as in the relatively new field of environmental bioengineering. The book will hopefully attract the interest of not only the bioengineers, researchers or professionals, but also of everyone who appreciates life and environmental sciences.
Author : Praveen Agarwal
Publisher : Bentham Science Publishers
ISBN 13 : 9815079336
Total Pages : 304 pages
Book Rating : 4.8/5 (15 download)
Download or read book Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering written by Praveen Agarwal and published by Bentham Science Publishers. This book was released on 2023-04-11 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the importance of numerical techniques and the results of complex analysis. Contributions in the book emphasize the mathematical treatment of questions arising in natural sciences and engineering, particularly those that involve novel problems and their solutions. This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems List of Chapters 1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional order chaotic systems with uncertain parameters 2. Improved generalized differential transform method for a class of linear non homogeneous ordinary fractional differential equation 3. Incomplete K2-Function 4. Some Results On Incomplete Hypergeometric Functions 5. Transcendental Bernstein Series: Interpolation and Approximation 6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function 7. From Abel continuity theorem to Paley-Wiener theorem… 8. A New Class of Truncated Exponential-Gould-Hopper basedGenocchi Polynomials 9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations 10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion 11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications 12.Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications 13.Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions 14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions 15. On solutions of Kinetic Model by Sumudu transform
Author : J. Sabatier
Publisher : Springer Science & Business Media
ISBN 13 : 1402060424
Total Pages : 550 pages
Book Rating : 4.4/5 (2 download)
Download or read book Advances in Fractional Calculus written by J. Sabatier and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Ahmed G. Radwan
Publisher : Academic Press
ISBN 13 : 0323902030
Total Pages : 530 pages
Book Rating : 4.3/5 (239 download)
Download or read book Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control written by Ahmed G. Radwan and published by Academic Press. This book was released on 2021-10-22 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. - Presents a simple and comprehensive understanding of the field of fractional-order systems - Offers practical knowledge on the design of fractional-order systems for different applications - Exposes users to possible new applications for fractional-order systems
Author : Kai Diethelm
Publisher : Springer
ISBN 13 : 3642145744
Total Pages : 251 pages
Book Rating : 4.6/5 (421 download)
Download or read book The Analysis of Fractional Differential Equations written by Kai Diethelm and published by Springer. This book was released on 2010-08-18 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.
Author : Kamal Shah
Publisher : BoD – Books on Demand
ISBN 13 : 1838800077
Total Pages : 204 pages
Book Rating : 4.8/5 (388 download)
Download or read book Functional Calculus written by Kamal Shah and published by BoD – Books on Demand. This book was released on 2020-06-17 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.
Author : Rudolf Hilfer
Publisher : World Scientific
ISBN 13 : 9814496200
Total Pages : 473 pages
Book Rating : 4.8/5 (144 download)
Download or read book Applications Of Fractional Calculus In Physics written by Rudolf Hilfer and published by World Scientific. This book was released on 2000-03-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.
Author : Roy Abi Zeid Daou
Publisher : Nova Science Publishers
ISBN 13 : 9781634630023
Total Pages : 0 pages
Book Rating : 4.6/5 (3 download)
Download or read book Fractional Calculus written by Roy Abi Zeid Daou and published by Nova Science Publishers. This book was released on 2014-01-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of this two-volume book, presents history, the mathematical modelling and the applications of fractional order systems, and contains mathematical and theoretical studies and research related to this domain. This volume is made up of 11 chapters. The first chapter presents an analysis of the Caputo derivative and the pseudo state representation with the infinite state approach. The second chapter studies the stability of a class of fractional Cauchy problems. The third chapter shows how to solve fractional order differential equations and fractional order partial differential equations using modern matrix algebraic approaches. Following this chapter, chapter four proposes another analytical method to solve differential equations with local fractional derivative operators. Concerning chapter five, it presents the extended Borel transform and its related fractional analysis. After presenting the analytical resolution methods for fractional calculus, chapter six shows the essentials of fractional calculus on discrete settings. The initialisation of such systems is shown in chapter seven. In fact, this chapter presents a generalised application of the Hankel operator for initialisation of fractional order systems. The last four chapters show some new studies and applications of non-integer calculus. In fact, chapter eight presents the fractional reaction-transport equations and evanescent continuous time random walks. Chapter nine shows a novel approach in the exponential integrators for fractional differential equations. Chapter ten presents the non-fragile tuning of fractional order PD controllers for integrating time delay systems. At the end, chapter eleven proposes a discrete finite-dimensional approximation of linear infinite dimensional systems. To sum up, this volume presents a mathematical and theoretical study of fractional calculus along with a stability study and some applications. This volume ends up with some new techniques and methods applied in fractional calculus. This volume will be followed up by a second volume that focuses on the applications of fractional calculus in several engineering domains.
Author : Dana Copot
Publisher : Academic Press
ISBN 13 : 0128159758
Total Pages : 338 pages
Book Rating : 4.1/5 (281 download)
Download or read book Automated Drug Delivery in Anesthesia written by Dana Copot and published by Academic Press. This book was released on 2020-05-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automated Drug Delivery in Anesthesia provides a full review of available tools and methods on the drug delivery of anesthesia, bridging the gap between academic development, research and clinical practice. The book takes an interdisciplinary approach, pulling information about tools developed in other disciplines such as mathematics, physics, biology and system engineering and applying them to drug delivery. The book's authors discuss the missing element of complete regulatory loop of anesthesia: the sensor and model for pain pathway assessment. This is the only book which focuses specifically on the delivery of anesthesia. Revisits the standard TCI anesthesia regulatory loop Provides complementary measurement devices and protocols for hypnosis, analgesia and neuromuscular blockade (the three components for anesthesia) Describes the link between existing and emerging tools
