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The Craft of Fractional Modelling in Science and Engineering

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ISBN: 9783038429838 9783038429845 Year: Pages: X, 128 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics --- Physics (General)
Added to DOAB on : 2018-06-22 14:41:30
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This book is a result of the contributions of scientists involved in a Special Issue entitled “The Craft of Fractional Modelling in Science and Engineering” published by the journal Fractal and Fractional (MDPI). Most of the articles were published at the end of 2017 and the beginning 2018. In accordance with the initial aim of the Special Issue, the best published have now been consolidated into this book. The articles included span a broad area of applications of fractional calculus and demonstrate the feasibility of the non-integer differentiation and integration approach in modeling, directly related to pertinent problems in science and engineering.This a good beginning and it would be beneficial to continue with this collection under the same title and potentially provide a second volume of this book in the future.

Entropy in Dynamic Systems

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ISBN: 9783039216161 9783039216178 Year: Pages: 172 DOI: 10.3390/books978-3-03921-617-8 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-12-09 11:49:16
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In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.

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