Download or read book Fuzzy Arbitrary Order System written by Snehashish Chakraverty and published by John Wiley & Sons. This book was released on 2016-08-29 with total page 274 pages. 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.

Download or read book A Treatise on the Theory of Bessel Functions written by George Neville Watson and published by . This book was released on 1922 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Physics written by Norman Robert Campbell and published by . This book was released on 1920 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Massachusetts Reports written by Massachusetts. Supreme Judicial Court and published by . This book was released on 1905 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Almost Global Solutions of Capillary Gravity Water Waves Equations on the Circle written by Massimiliano Berti and published by Springer. This book was released on 2018-11-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations, we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.

Download or read book Report of Cases Determined by the Supreme Court of Appeals of West Virginia written by West Virginia. Supreme Court of Appeals and published by . This book was released on 1919 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1910 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Southeastern Reporter written by and published by . This book was released on 1919 with total page 1836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory and Applications of Finite Groups written by George Abram Miller and published by . This book was released on 1916 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of the Section of Sciences written by Koninklijke Nederlandse Akademie van Wetenschappen. Afdeling Natuurkunde and published by . This book was released on 1905 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen written by Koninklijke Akademie van Wetenschappen (Netherlands). Afdeeling Natuurkunde and published by . This book was released on 1905 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book In Supreme Court written by and published by . This book was released on with total page 1396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Unusual Applications of Number Theory written by Melvyn Bernard Nathanson and published by American Mathematical Soc.. This book was released on 2004 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. Standard applications of number theory are to computer science and cryptology. In this volume, well-known number theorist, Melvyn B. Nathanson, gathers articles from the workshop on other, less standard applications in number theory, as well as topics in number theory with potential applications in science and engineering. The material is suitable for graduate students and researchers interested in number theory and its applications.

Download or read book The Massachusetts Business Corporation Law of 1903 written by Prescott Farnsworth Hall and published by . This book was released on 1908 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of the Aristotelian Society for the Systematic Study of Philosophy written by Aristotelian Society (Great Britain) and published by . This book was released on 1921 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Report of the executive committee for 1887/88-1914/15; list of members in each volume.

Download or read book Proceedings of the Aristotelian Society written by Aristotelian Society (Great Britain) and published by . This book was released on 1921 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: List of members in each volume.

Download or read book Multipoint Methods for Solving Nonlinear Equations written by Miodrag Petkovic and published by Academic Press. This book was released on 2012-12-31 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first on the topic and explains the most cutting-edge methods needed for precise calculations and explores the development of powerful algorithms to solve research problems. Multipoint methods have an extensive range of practical applications significant in research areas such as signal processing, analysis of convergence rate, fluid mechanics, solid state physics, and many others. The book takes an introductory approach in making qualitative comparisons of different multipoint methods from various viewpoints to help the reader understand applications of more complex methods. Evaluations are made to determine and predict efficiency and accuracy of presented models useful to wide a range of research areas along with many numerical examples for a deep understanding of the usefulness of each method. This book will make it possible for the researchers to tackle difficult problems and deepen their understanding of problem solving using numerical methods. Multipoint methods are of great practical importance, as they determine sequences of successive approximations for evaluative purposes. This is especially helpful in achieving the highest computational efficiency. The rapid development of digital computers and advanced computer arithmetic have provided a need for new methods useful to solving practical problems in a multitude of disciplines such as applied mathematics, computer science, engineering, physics, financial mathematics, and biology. - Provides a succinct way of implementing a wide range of useful and important numerical algorithms for solving research problems - Illustrates how numerical methods can be used to study problems which have applications in engineering and sciences, including signal processing, and control theory, and financial computation - Facilitates a deeper insight into the development of methods, numerical analysis of convergence rate, and very detailed analysis of computational efficiency - Provides a powerful means of learning by systematic experimentation with some of the many fascinating problems in science - Includes highly efficient algorithms convenient for the implementation into the most common computer algebra systems such as Mathematica, MatLab, and Maple