Diptiranjan Behera's Books

Fuzzy Differential Equations and Applications for Engineers and Scientists

By: S. Chakraverty,Smita Tapaswini,Diptiranjan Behera

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Fuzzy Differential Equations and Applications for Engineers and Scientists

By: S. Chakraverty,Smita Tapaswini,Diptiranjan Behera

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.

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Page Count

138

Publisher

CRC Press

Published Date

ISBN 10

1315355531

ISBN 13

9781315355535

Fuzzy Arbitrary Order System

Fuzzy Fractional Differential Equations and Applications

By: Snehashish Chakraverty,Smita Tapaswini,Diptiranjan Behera

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Fuzzy Arbitrary Order System

Fuzzy Fractional Differential Equations and Applications

By: Snehashish Chakraverty,Smita Tapaswini,Diptiranjan Behera

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.

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Page Count

276

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119004136

ISBN 13

9781119004134

Fuzzy Differential Equations and Applications for Engineers and Scientists

By: S. Chakraverty,Smita Tapaswini,Diptiranjan Behera

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Fuzzy Differential Equations and Applications for Engineers and Scientists

By: S. Chakraverty,Smita Tapaswini,Diptiranjan Behera

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

138

Publisher

CRC Press

Published Date

ISBN 10

1315355531

ISBN 13

9781315355535

Book's by Diptiranjan Behera

Fuzzy Differential Equations and Applications for Engineers and Scientists

Fuzzy Differential Equations and Applications for Engineers and Scientists

Fuzzy Arbitrary Order System

Fuzzy Arbitrary Order System

Fuzzy Differential Equations and Applications for Engineers and Scientists

Fuzzy Differential Equations and Applications for Engineers and Scientists

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