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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.

Boundary Value Problems

2023-08-16 Mathematics
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Release : 2023-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 005/5 ( reviews)

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Book Synopsis Boundary Value Problems by : Svetlin Georgiev

Download or read book Boundary Value Problems written by Svetlin Georgiev. This book was released on 2023-08-16. Available in PDF, EPUB and Kindle. Book excerpt: This book explores boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. The author provides an introduction to each fractional dynamic equation before delving into the problems. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions.

Boundary Value Problems

2023-08-16 Mathematics
Download Boundary Value Problems PDF Online Free

Author :
Release : 2023-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 963/5 ( reviews)

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Book Synopsis Boundary Value Problems by : Svetlin Georgiev

Download or read book Boundary Value Problems written by Svetlin Georgiev. This book was released on 2023-08-16. Available in PDF, EPUB and Kindle. Book excerpt: This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations.

First Order Partial Dynamic Equations on Time Scales

2024-03-05 Mathematics
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Release : 2024-03-05
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

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Book Synopsis First Order Partial Dynamic Equations on Time Scales by : Svetlin G. Georgiev

Download or read book First Order Partial Dynamic Equations on Time Scales written by Svetlin G. Georgiev. This book was released on 2024-03-05. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to the theory of first order partial dynamic equations (PDEs) on time scales. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses, but students in mathematical and physical sciences will also find many sections relevant. This book contains five chapters, and each chapter consists of results with their proofs, numerous examples, and exercises with solutions. Each chapter concludes with a section featuring advanced practical problems with solutions followed by a section on notes and references, explaining its context within existing literature. The book presents a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques, and the text of this book is presented in a readable and mathematically solid format.

Advances On Fractional Dynamic Inequalities On Time Scales

2023-08-29 Mathematics
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Release : 2023-08-29
Genre : Mathematics
Kind : eBook
Book Rating : 483/5 ( reviews)

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Book Synopsis Advances On Fractional Dynamic Inequalities On Time Scales by : Svetlin G Georgiev

Download or read book Advances On Fractional Dynamic Inequalities On Time Scales written by Svetlin G Georgiev. This book was released on 2023-08-29. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted on recent developments of linear and nonlinear fractional Riemann-Liouville and Caputo integral inequalities on time scales. The book is intended for the use in the field of fractional dynamic calculus on time scales and fractional dynamic equations on time scales. It is also suitable for graduate courses in the above fields, and contains ten chapters. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.

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