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This book aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering.
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This book offers a problem-solving approach. The authors introduce a problem to help motivate the learning of a particular mathematical modeling topic. The problem provides the issue or what is needed to solve using an appropriate modeling technique.
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The Second Edition of this contemporary approach offers notable new features. Building on the success of the First Edition, the book has gone through an... Læs mere
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This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses.
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This book offers a wide range of computing and simulation techniques used in interdisciplinary areas of applied engineering in a single volume. It will serve as a... Læs mere
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A detailed account of a new approach to the observation and control of linear systems whose inputs and outputs are not fixed in advance. Aimed at researchers and graduate... Læs mere
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Beginning with geometric, algebraic, and analytical foundations it moves on to a range of topics in kinematics that serve as the descriptive language for continuum motions, this book introduces an approach to multiconstiuent continua based on mixture theory.
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Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored in this book makes microlocal sheaf theory accessible to a wide audience of readers interested in symplectic geometry.
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These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds.... Læs mere
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The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions.