{"title":"Fractional Calculus In Applied Sciences And Engineering","description":null,"products":[{"product_id":"fractional-and-fractal-derivative-models-for-anomalous-sediment-transport-book-hongguang-sun-9783111348766","title":"Fractional and Fractal Derivative Models for Anomalous Sediment Transport","description":"\u003cp\u003e This book will introduce new physical approaches (include fractional derivative models, continuous time random walk methods and Hausdorff derivative models) to accurately characterize anomalous sediment transport in turbulent flow. This book will systematically investigate anomalous sediment transport inexperiments, physical analysis, stochastic model and field applications. \u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51061193474321,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51061195931921,"sku":"NIN9783111348766","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3111348768.jpg?v=1750837621"},{"product_id":"fractional-order-control-systems-book-dingy-xue-9783110499995","title":"Fractional-Order Control Systems","description":"This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51061355610385,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51061358330129,"sku":"NIN9783110499995","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3110499991.jpg?v=1751284565"},{"product_id":"natures-patterns-and-the-fractional-calculus-book-bruce-j-west-9783110534115","title":"Natures Patterns and the Fractional Calculus","description":"Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences. ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51061491990801,"sku":"NIN9783110534115","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52473018941713,"sku":"NLS9783110534115","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3110534118.jpg?v=1783681441"},{"product_id":"fractional-signals-and-systems-book-manuel-duarte-ortigueira-9783110621297","title":"Fractional Signals and Systems","description":"\u003cp\u003eThe book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. 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All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51063383785745,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51063386407185,"sku":"NIN9783111334349","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52124075131153,"sku":"NLS9783111334349","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3111334341.jpg?v=1775123901"},{"product_id":"economic-dynamics-with-memory-book-vasily-e-tarasov-9783110624601","title":"Economic Dynamics with Memory","description":"\u003cp\u003e This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well. \u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51063865147665,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51063868588305,"sku":"NIN9783110624601","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52408250401041,"sku":"NLS9783110624601","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3110624605.jpg?v=1751031422"},{"product_id":"outliers-in-control-engineering-book-pawel-doma324ski-9783110729078","title":"Outliers in Control Engineering","description":"\u003cp\u003eOutliers play an important, though underestimated, role in control engineering. Traditionally they are unseen and neglected. In opposition, industrial practice gives frequent examples of their existence and their mostly negative impacts on the control quality. The origin of outliers is never fully known. Some of them are generated externally to the process (exogenous), like for instance erroneous observations, data corrupted by control systems or the effect of human intervention. Such outliers appear occasionally with some unknow probability shifting real value often to some strange and nonsense value. They are frequently called \u003cem\u003edeviants, anomalies\u003c\/em\u003e or \u003cem\u003econtaminants\u003c\/em\u003e. In most cases we are interested in their detection and removal. \u003c\/p\u003e \u003cp\u003eHowever, there exists the second kind of outliers. Quite often strange looking data observations are not artificial data occurrences. They may be just representatives of the underlying generation mechanism being inseparable internal part of the process (endogenous outliers). In such a case they are not wrong and should be treated with cautiousness, as they may include important information about the dynamic nature of the process. As such they cannot be neglected nor simply removed. The Outlier should be detected, labelled and suitably treated. These activities cannot be performed without proper analytical tools and modeling approaches. There are dozens of methods proposed by scientists, starting from Gaussian-based statistical scoring up to data mining artificial intelligence tools. The research presented in this book presents novel approach incorporating non-Gaussian statistical tools and fractional calculus approach revealing new data analytics applied to this important and challenging task. \u003c\/p\u003e \u003cp\u003eThe proposed book includes a collection of contributions addressing different yet cohesive subjects, like dynamic modelling, classical control, advanced control, fractional calculus, statistical analytics focused on an ultimate goal: robust and outlier-proof analysis. All studied problems show that outliers play an important role and classical methods, in which outlier are not taken into account, do not give good results. Applications from different engineering areas are considered such as semiconductor process control and monitoring, MIMO peltier temperature control and health monitoring, networked control systems, and etc. \u003c\/p\u003e","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51064087216401,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51064089772305,"sku":"NIN9783110729078","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52405308424465,"sku":"NLS9783110729078","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3110729075.jpg?v=1751158633"},{"product_id":"fractional-signals-and-systems-book-manuel-duarte-ortigueira-9783110777161","title":"Fractional Signals and Systems","description":"\u003cp\u003eThe book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. 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ContentsIntroductionPreliminariesFractional integral identitiesHermite-Hadamard inequalities involving Riemann-Liouville fractional integralsHermite-Hadamard inequalities involving Hadamard fractional integrals","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51242974314769,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51242975953169,"sku":"NIN9783110522204","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52654543831313,"sku":"NLS9783110522204","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3110522209.jpg?v=1786528554"},{"product_id":"fractional-order-equations-and-inclusions-book-michal-fe269kan-9783110521382","title":"Fractional-Order Equations and Inclusions","description":"This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. 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Decision-making processes, conservation laws of mass\/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. 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This book aims at giving a combination of conventional linear vibrations with recent fractional ones from a view of engineering. It consists of two parts. One is for conventional linear vibrations in Chapters 1 - 6 based on the authors lectures on the course of ship hull vibrations for undergraduates and postgraduates in Ocean College, Zhejiang University, China. The other, Chapters 7 - 15, contains his research in fractional vibrations. \u003c\/p\u003e \u003cp\u003e the book is suitable for researchers and graduate students in science and engieering. 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