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Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales

2022-09-20 Mathematics
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Release : 2022-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 369/5 ( reviews)

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Book Synopsis Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales by : Chao Wang

Download or read book Dynamic Equations and Almost Periodic Fuzzy Functions on Time Scales written by Chao Wang. This book was released on 2022-09-20. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and uncertainty theory. The authors introduce a new division of fuzzy vectors depending on a determinant algorithm and develop a theory of almost periodic fuzzy multidimensional dynamic systems on time scales. Several applications are studied; in particular, a new type of fuzzy dynamic systems called fuzzy q-dynamic systems (i.e. fuzzy quantum dynamic systems) is presented. The results are not only effective on classical fuzzy dynamic systems, including their continuous and discrete situations, but are also valid for other fuzzy multidimensional dynamic systems on various hybrid domains. In an effort to achieve more accurate analysis in real world applications, the authors propose a number of uncertain factors in the theory. As such, fuzzy dynamical models, interval-valued functions, differential equations, fuzzy-valued differential equations, and their applications to dynamic equations on time scales are considered.

Dynamic Equations on Time Scales and Applications

2024-10-18 Mathematics
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Release : 2024-10-18
Genre : Mathematics
Kind : eBook
Book Rating : 758/5 ( reviews)

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Book Synopsis Dynamic Equations on Time Scales and Applications by : Ravi P Agarwal

Download or read book Dynamic Equations on Time Scales and Applications written by Ravi P Agarwal. This book was released on 2024-10-18. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. • Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales • Connects several new areas of dynamic equations on time scales with applications in different fields • Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales • Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena • Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics

Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales

2021-07-15 Mathematics
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Release : 2021-07-15
Genre : Mathematics
Kind : eBook
Book Rating : 320/5 ( reviews)

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Book Synopsis Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales by : Svetlin G. Georgiev

Download or read book Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales written by Svetlin G. Georgiev. This book was released on 2021-07-15. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these equations on time scales. The aim of this book is to present a systematic account of recent developments; describe the current state of the useful theory; show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; and initiate several new extensions to other types of fuzzy dynamic systems and dynamic inclusions. The material is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.

Theory of Translation Closedness for Time Scales

2020-05-05 Mathematics
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Release : 2020-05-05
Genre : Mathematics
Kind : eBook
Book Rating : 449/5 ( reviews)

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Book Synopsis Theory of Translation Closedness for Time Scales by : Chao Wang

Download or read book Theory of Translation Closedness for Time Scales written by Chao Wang. This book was released on 2020-05-05. Available in PDF, EPUB and Kindle. Book excerpt: This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more). Against the background of dynamic equations, these function theories on time scales are applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations and impulsive integro-differential equations. The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers with the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks, and social sciences.

Studies in Evolution Equations and Related Topics

2021-10-27 Mathematics
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Release : 2021-10-27
Genre : Mathematics
Kind : eBook
Book Rating : 049/5 ( reviews)

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Book Synopsis Studies in Evolution Equations and Related Topics by : Gaston M. N'Guérékata

Download or read book Studies in Evolution Equations and Related Topics written by Gaston M. N'Guérékata. This book was released on 2021-10-27. Available in PDF, EPUB and Kindle. Book excerpt: This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite dimensional Banach spaces; optimal control of averaged state of a population dynamic model; structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin-type boundary condition; exponential dichotomy and partial neutral functional differential equations, stable and center-stable manifolds of admissible class; global attractor in Alpha-norm for some partial functional differential equations of neutral and retarded type; and more. Researchers in mathematical sciences, biosciences, computational sciences and related fields, will benefit from the rich and useful resources provided. Upper undergraduate and graduate students may be inspired to contribute to this active and stimulating field.

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