Share

Fuzzy Differential Equations and Applications for Engineers and Scientists

2016-11-25 Mathematics
Download Fuzzy Differential Equations and Applications for Engineers and Scientists PDF Online Free

Author :
Release : 2016-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 531/5 ( reviews)

GET EBOOK


Book Synopsis Fuzzy Differential Equations and Applications for Engineers and Scientists by : S. Chakraverty

Download or read book Fuzzy Differential Equations and Applications for Engineers and Scientists written by S. Chakraverty. This book was released on 2016-11-25. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.

Fuzzy Arbitrary Order System

2016-08-09 Mathematics
Download Fuzzy Arbitrary Order System PDF Online Free

Author :
Release : 2016-08-09
Genre : Mathematics
Kind : eBook
Book Rating : 179/5 ( reviews)

GET EBOOK


Book Synopsis Fuzzy Arbitrary Order System by : Snehashish Chakraverty

Download or read book Fuzzy Arbitrary Order System written by Snehashish Chakraverty. This book was released on 2016-08-09. Available in PDF, EPUB and Kindle. Book excerpt: Presents a systematic treatment of fuzzy fractional differential equations as well as newly developed computational methods to model uncertain physical problems Complete with comprehensive results and solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications details newly developed methods of fuzzy computational techniquesneeded to model solve uncertainty. Fuzzy differential equations are solved via various analytical andnumerical methodologies, and this book presents their importance for problem solving, prototypeengineering design, and systems testing in uncertain environments. In recent years, modeling of differential equations for arbitrary and fractional order systems has been increasing in its applicability, and as such, the authors feature examples from a variety of disciplines to illustrate the practicality and importance of the methods within physics, applied mathematics, engineering, and chemistry, to name a few. The fundamentals of fractional differential equations and the basic preliminaries of fuzzy fractional differential equations are first introduced, followed by numerical solutions, comparisons of various methods, and simulated results. In addition, fuzzy ordinary, partial, linear, and nonlinear fractional differential equations are addressed to solve uncertainty in physical systems. In addition, this book features: Basic preliminaries of fuzzy set theory, an introduction of fuzzy arbitrary order differential equations, and various analytical and numerical procedures for solving associated problems Coverage on a variety of fuzzy fractional differential equations including structural, diffusion, and chemical problems as well as heat equations and biomathematical applications Discussions on how to model physical problems in terms of nonprobabilistic methods and provides systematic coverage of fuzzy fractional differential equations and its applications Uncertainties in systems and processes with a fuzzy concept Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications is an ideal resource for practitioners, researchers, and academicians in applied mathematics, physics, biology, engineering, computer science, and chemistry who need to model uncertain physical phenomena and problems. The book is appropriate for graduate-level courses on fractional differential equations for students majoring in applied mathematics, engineering, physics, and computer science.

Theory of Fuzzy Differential Equations and Inclusions

2004-11-23 Mathematics
Download Theory of Fuzzy Differential Equations and Inclusions PDF Online Free

Author :
Release : 2004-11-23
Genre : Mathematics
Kind : eBook
Book Rating : 386/5 ( reviews)

GET EBOOK


Book Synopsis Theory of Fuzzy Differential Equations and Inclusions by : V. Lakshmikantham

Download or read book Theory of Fuzzy Differential Equations and Inclusions written by V. Lakshmikantham. This book was released on 2004-11-23. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.

Advances in Fuzzy Integral and Differential Equations

2021-07-25 Technology & Engineering
Download Advances in Fuzzy Integral and Differential Equations PDF Online Free

Author :
Release : 2021-07-25
Genre : Technology & Engineering
Kind : eBook
Book Rating : 11X/5 ( reviews)

GET EBOOK


Book Synopsis Advances in Fuzzy Integral and Differential Equations by : Tofigh Allahviranloo

Download or read book Advances in Fuzzy Integral and Differential Equations written by Tofigh Allahviranloo. This book was released on 2021-07-25. Available in PDF, EPUB and Kindle. Book excerpt: As the title of the book suggests, the topics of this book are organized into two parts. The first part points out the fuzzy differential equations and the second one is related to the fuzzy integral equations. The book contains nine chapters that six chapters are about fuzzy differential equations and three of them are about fuzzy integral equations. In each part, the chapters’ authors are going to discuss the topics theoretically and numerically. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit from the subjects of the book.

Recent Advances in Applications of Computational and Fuzzy Mathematics

2018-07-17 Computers
Download Recent Advances in Applications of Computational and Fuzzy Mathematics PDF Online Free

Author :
Release : 2018-07-17
Genre : Computers
Kind : eBook
Book Rating : 536/5 ( reviews)

GET EBOOK


Book Synopsis Recent Advances in Applications of Computational and Fuzzy Mathematics by : Snehashish Chakraverty

Download or read book Recent Advances in Applications of Computational and Fuzzy Mathematics written by Snehashish Chakraverty. This book was released on 2018-07-17. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the basics of interval/fuzzy set theory, artificial neural networks (ANN) and computational methods. It presents step-by-step modeling for application problems along with simulation and numerical solutions. In general, every science and engineering problem is inherently biased by uncertainty, and there is often a need to model, solve and interpret problems in the world of uncertainty. At the same time, exact information about models and parameters of practical applications is usually not known and precise values do not exist. This book discusses uncertainty in both data and models. It consists of seven chapters covering various aspects of fuzzy uncertainty in application problems, such as shallow water wave equations, static structural problems, robotics, radon diffusion in soil, risk of invasive alien species and air quality quantification. These problems are handled by means of advanced computational and fuzzy theory along with machine intelligence when the uncertainties involved are fuzzy. The proposed computational methods offer new fuzzy computing methods that help other areas of knowledge construction where inexact information is present.

You may also like...