Special Functions in Fractional Calculus and Engineering, Singh, Harendra

Автор: Howard S. Cohl, Mourad E. H. Ismail
Название: Lectures on Orthogonal Polynomials and Special Functions
ISBN: 1108821596 ISBN-13(EAN): 9781108821599
Издательство: Cambridge Academ
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Цена: 76030.00 T
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Описание: This is a collection of graduate-level introductions to five areas of current research interest in orthogonal polynomials and special functions. It derives from the OPSF-S6 Summer School lectures given by international authorities and has been carefully edited into a coherent whole, with examples and exercises.

Автор: Filipuk Galina, Kozlowski Andrzej
Название: Differential Geometry, Differential Equations, and Special Functions
ISBN: 3110774542 ISBN-13(EAN): 9783110774542
Издательство: Walter de Gruyter
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Цена: 77240.00 T
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Описание:

This volume, the third of a series, consists of applications of Mathematica(R) to a potpourri of more advanced topics. These include differential geometry of curves and surfaces, differential equations and special functions and complex analysis. Some of the newest features of Mathematica(R) are demonstrated and explained and some problems with the current implementation pointed out and possible future improvements suggested.

Автор: N K Bliev
Название: Generalized Analytic Functions in Fractional Spaces
ISBN: 0582288614 ISBN-13(EAN): 9780582288614
Издательство: Taylor&Francis
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Цена: 142910.00 T
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Описание: This is a study of the foundation of the general theory of generalized analytic functions in fractional spaces. The employment of fractional spaces and inclusion theorems offers the possibility of applications of the theory of generalized analytic functions.

Автор: Manuel Duarte Ortigueira
Название: Fractional Calculus for Scientists and Engineers
ISBN: 9400736371 ISBN-13(EAN): 9789400736375
Издательство: Springer
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Цена: 104480.00 T
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Описание: In recent years fractional calculus has been rediscovered by scientists and engineers and applied in an increasing number of fields. This book gives a practical and multidisciplinary overview of Fractional Calculus as it relates to Signal Processing.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Автор: Namsrai Khavtgai
Название: Universal Formulas In Integral And Fractional Differential Calculus
ISBN: 9814675598 ISBN-13(EAN): 9789814675598
Издательство: World Scientific Publishing
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Цена: 100320.00 T
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Описание: This table-top reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators.

Автор: Baleanu Dumitru, Diethelm Kai, Scalas Enrico
Название: Fractional Calculus: Models and Numerical Methods (Second Edition)
ISBN: 9813140038 ISBN-13(EAN): 9789813140035
Издательство: World Scientific Publishing
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Цена: 158400.00 T
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Описание: This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.

Автор: Goodrich, Christopher Peterson, Allan C.
Название: Discrete fractional calculus
ISBN: 3319255606 ISBN-13(EAN): 9783319255606
Издательство: Springer
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Цена: 46570.00 T
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Описание: This text provides the first comprehensive treatment of the discrete fractional calculus. Chapters 1-2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers.

Автор: Shantanu Das
Название: Functional Fractional Calculus
ISBN: 3642444601 ISBN-13(EAN): 9783642444609
Издательство: Springer
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Цена: 191550.00 T
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Описание: Practical results of viscoelastic experiments, fractional order controls experiments, design of fractional controller and practical circuit synthesis for fractional order elements are elaborated in this book.

Автор: Prudnikov, A. P. , Sk?rnik, K.A.
Название: Operational Calculus and Related Topics
ISBN: 0367390493 ISBN-13(EAN): 9780367390495
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание:

Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advances in the field.

Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing new developments in the field. Among the historical methods considered are Oliver Heaviside's algebraic operational calculus and Paul Dirac's delta function. Other discussions deal with the conditions for the existence of integral transforms, Jan Mikusiński's theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions.

Benefits...

- Discusses theory and applications of integral transforms

- Gives inversion, complex-inversion, and Dirac's delta distribution formulas, among others

- Offers a short survey of actual results of finite integral transforms, in particular convolution theorems

Because Operational Calculus and Related Topics provides examples and illustrates the applications to various disciplines, it is an ideal reference for mathematicians, physicists, scientists, engineers, and students.

Автор: Francesca Biagini; Yaozhong Hu; Bernt ?ksendal; Tu
Название: Stochastic Calculus for Fractional Brownian Motion and Applications
ISBN: 1849969949 ISBN-13(EAN): 9781849969949
Издательство: Springer
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Цена: 79190.00 T
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Описание: The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory.

Автор: Rubin
Название: Introduction to Radon Transforms
ISBN: 0521854598 ISBN-13(EAN): 9780521854597
Издательство: Cambridge Academ
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Цена: 174240.00 T
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Описание: This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented.