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Fractional-Order Nonlinear Systems

2011-05-30 Technology & Engineering
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Release : 2011-05-30
Genre : Technology & Engineering
Kind : eBook
Book Rating : 015/5 ( reviews)

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Book Synopsis Fractional-Order Nonlinear Systems by : Ivo Petráš

Download or read book Fractional-Order Nonlinear Systems written by Ivo Petráš. This book was released on 2011-05-30. Available in PDF, EPUB and Kindle. Book excerpt: "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Nonlinear Systems of Fractional Differential Equations

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Kind : eBook
Book Rating : 137/5 ( reviews)

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Book Synopsis Nonlinear Systems of Fractional Differential Equations by : Bashir Ahmad

Download or read book Nonlinear Systems of Fractional Differential Equations written by Bashir Ahmad. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Fractional Differential Equations

2018-10-28 Technology & Engineering
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Release : 2018-10-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 959/5 ( reviews)

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Book Synopsis Introduction to Fractional Differential Equations by : Constantin Milici

Download or read book Introduction to Fractional Differential Equations written by Constantin Milici. This book was released on 2018-10-28. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.

Nonlinear Systems of Fractional Differential Equations

2024-08-18 Mathematics
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Release : 2024-08-18
Genre : Mathematics
Kind : eBook
Book Rating : 121/5 ( reviews)

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Book Synopsis Nonlinear Systems of Fractional Differential Equations by : Bashir Ahmad

Download or read book Nonlinear Systems of Fractional Differential Equations written by Bashir Ahmad. This book was released on 2024-08-18. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ψ-Riemann--Liouville, Hilfer, ψ--Hilfer, Hadamard, Hilfer--Hadamard, Erdelyi--Kober, (k, ψ)-Hilfer, generalized, Proportional, ψ-Proportional, Hilfer--proportional, ψ-Hilfer--proportional type fractional derivative operators, subject to different types of nonlocal boundary conditions. The topic of fractional differential systems is one of the hot and important topics of research as such systems appear in the mathematical modeling of physical and technical phenomena. As the book contains some recent new work on the existence theory for nonlocal boundary value problems of fractional differential systems, it is expected that it will attract the attention of researchers, modelers and graduate students who are interested in doing their research on fractional differential systems.

Nonlinear Differential Equations and Dynamical Systems

2021-04-15 Mathematics
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Release : 2021-04-15
Genre : Mathematics
Kind : eBook
Book Rating : 108/5 ( reviews)

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Book Synopsis Nonlinear Differential Equations and Dynamical Systems by : Feliz Manuel Minhós

Download or read book Nonlinear Differential Equations and Dynamical Systems written by Feliz Manuel Minhós. This book was released on 2021-04-15. Available in PDF, EPUB and Kindle. Book excerpt: This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.

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