Tag: Fractional

Applications of Fractional Calculus to Modeling in Dynamics and Chaos


Applications of Fractional Calculus to Modeling in Dynamics and Chaos
English | 2023 | ISBN: 0367438879 | 577 Pages | PDF (True) | 36 MB
Applications of Fractional Calculus to Modeling in Dynamics and Chaos 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. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications.

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Functional Fractional Calculus for System Identification and Controls


Functional Fractional Calculus for System Identification and Controls by Shantanu Das
English | PDF(True) | 2008 | 251 Pages | ISBN : 3642091784 | 6 MB
When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, but also several practical applications are given particularly for system identification, description and then efficient controls.

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Advanced Methods in the Fractional Calculus of Variations


Advanced Methods in the Fractional Calculus of Variations by Agnieszka B. Malinowska
English | PDF | 2015 | 142 Pages | ISBN : 3319147552 | 3 MB
This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler-Lagrange equations to include fractional derivatives.

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Outliers in Control Engineering Fractional Calculus Perspective


English | 2022 | ISBN: 3110729075 | 272 pages | True PDF EPUB | 37.75 MB
Outliers 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 deviants, anomalies or contaminants . In most cases we are interested in their detection and removal.

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Fractional Inequalities In Banach Algebras


English | 2022 | ISBN: 3031051475 | 312 pages | True PDF EPUB | 41.64 MB
This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann-Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.

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