Fuzzy Dynamic Equations Dynamic Inclusions And Optimal Control Problems On Time Scales
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Fuzzy Dynamic Equations Dynamic Inclusions And Optimal Control Problems On Time Scales
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Author : Svetlin G. Georgiev
language : en
Publisher: Springer Nature
Release Date : 2021-07-15
Fuzzy Dynamic Equations Dynamic Inclusions And Optimal Control Problems On Time Scales written by Svetlin G. Georgiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-15 with Mathematics categories.
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
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Author : Svetlin Georgiev
language : en
Publisher:
Release Date : 2024
Boundary Value Problems written by Svetlin Georgiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Differential equations categories.
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. In addition, this book: Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Explores boundary value problems for advanced fractional dynamic equations on arbitrary time scales Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales About the Author: Svetlin Georgiev, Ph.D., is an Assistant Professor in the Faculty of Mathematics and Informatics at Sofia University. He was previously affiliated with Sorbonne University. He is the author of several books, including Real Quaternion Calculus Handbook, Theory of Distributions, Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales, Fuzzy Dynamic Equations, Dynamic Inclusions and Optimal Control Problems on Time Scales, and Functional Dynamic Equations on Time Scales, published by Springer Nature. His current research interests include harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.
First Order Partial Dynamic Equations On Time Scales
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Author : Svetlin G. Georgiev
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2024-03-05
First Order Partial Dynamic Equations On Time Scales written by Svetlin G. Georgiev and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-05 with Mathematics categories.
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.
Boundary Value Problems
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Author : Svetlin Georgiev
language : en
Publisher: Springer Nature
Release Date : 2023-08-16
Boundary Value Problems written by Svetlin Georgiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-16 with Mathematics categories.
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.
An Excursion Through Partial Differential Equations
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Author : Svetlin G. Georgiev
language : en
Publisher: Springer Nature
Release Date : 2024-01-17
An Excursion Through Partial Differential Equations written by Svetlin G. Georgiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-17 with Mathematics categories.
Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented scientific fields, from physics and engineering to differential geometry and variational calculus. Organized thoughtfully into seven chapters, the journey begins with fundamental problems in the realm of PDEs. Readers progress through first and second-order equations, wave and heat equations, and finally, the Laplace equation. The text adopts a highly readable and mathematically solid format, ensuring concepts are introduced with clarity and organization. Designed to cater to upper undergraduate and graduate students, this book offers a comprehensive understanding of partial differential equations. Researchers and practitioners seeking to strengthen their problem-solving skills will also find this exercise collection both challenging and beneficial.
Advances On Fractional Dynamic Inequalities On Time Scales
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Author : Svetlin G Georgiev
language : en
Publisher: World Scientific
Release Date : 2023-08-29
Advances On Fractional Dynamic Inequalities On Time Scales written by Svetlin G Georgiev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-29 with Mathematics categories.
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.
Jordan Canonical Form And Dynamic Systems On Time Scales
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Author : Svetlin Georgiev
language : en
Publisher:
Release Date : 2023-05
Jordan Canonical Form And Dynamic Systems On Time Scales written by Svetlin Georgiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05 with Differential equations, Linear categories.
Jordan canonical form is one of the most important and useful concepts in linear algebra. This book develops Jordan canonical form and shows how to apply it to solving systems of dynamic equations on arbitrary time scales. The development of Jordan canonical form involves the following concepts: vector spaces, linear operators, matrices, eigenvalues, eigenvectors, and chains of generalized eigenvectors. The book begins with the diagonalizable case, and then proceeds to the general case. The majority of this book is devoted to showing how to apply Jordan canonical form to solve systems of constant-coefficient first order dynamic equations on arbitrary time scales. It covers all situations, including homogeneous and inhomogeneous dynamic systems on arbitrary time scales, and real and complex eigenvalues. The book is intended for senior undergraduate students and beginner graduate students of engineering and sciences.
Dynamic Equations And Almost Periodic Fuzzy Functions On Time Scales
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Author : Chao Wang
language : en
Publisher: Springer Nature
Release Date : 2022-09-20
Dynamic Equations And Almost Periodic Fuzzy Functions On Time Scales written by Chao Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-20 with Mathematics categories.
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.
Metrical Almost Periodicity And Applications To Integro Differential Equations
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Author : Marko Kostić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-06-06
Metrical Almost Periodicity And Applications To Integro Differential Equations written by Marko Kostić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-06 with Mathematics categories.
An Excursion Through Partial Differential Equations
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Author : Svetlin G. Georgiev
language : en
Publisher: Springer
Release Date : 2024-02-07
An Excursion Through Partial Differential Equations written by Svetlin G. Georgiev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-07 with Mathematics categories.
Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented scientific fields, from physics and engineering to differential geometry and variational calculus. Organized thoughtfully into seven chapters, the journey begins with fundamental problems in the realm of PDEs. Readers progress through first and second-order equations, wave and heat equations, and finally, the Laplace equation. The text adopts a highly readable and mathematically solid format, ensuring concepts are introduced with clarity and organization. Designed to cater to upper undergraduate and graduate students, this book offers a comprehensive understanding of partial differential equations. Researchers and practitioners seeking to strengthen their problem-solving skills will also find this exercise collection both challenging and beneficial.