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Mathematische Ökonomie

Beherrschung der mathematischen Ökonomie, Navigation durch d...

By Fouad Sabry
Publisher: One Billion Knowledgeable, 2023-12-18
Pages: 292
Language: de
ISBN_13:9791222094526
Subject: Business & Economics

Advanced Methods in the Fractional Calculus of Variations

$This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives. The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of Euler–Lagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional Sturm–Liouville problems. Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering.$

جزئیات و درخواست

By Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres
Publisher: Springer, 2015-02-05
Pages: 142
Language: en
ISBN_13:9783319147567
ISBN_10:3319147560
Subject: Mathematics

Quantum Variational Calculus

جزئیات و درخواست

By Agnieszka B. Malinowska, Delfim F.M. Torres
Publisher: Springer Science & Business Media, 2013-11-29
Pages: 96
Language: en
ISBN_13:9783319027470
ISBN_10:3319027476
Subject: Mathematics

Advances in Non-Integer Order Calculus and Its Applications

Proceedings of the 10th International Conference on Non-Inte...

$This book provides an overview of some recent findings in the theory and applications of non-integer order systems. Discussing topics ranging from the mathematical foundations to technical applications of continuous-time and discrete-time fractional calculus, it includes 22 original research papers and is subdivided into four parts: • Mathematical Foundations • Approximation, Modeling and Simulations • Fractional Systems Analysis and Control • Applications The papers were selected from those presented at the 10th International Conference of Non-integer Order Calculus and its Applications, which was held at the Bialystok University of Technology, Poland, September 20–21, 2018. Thanks to the broad spectrum of topics covered, the book is suitable for researchers from applied mathematics and engineering. It is also a valuable resource for graduate students, as well as for scholars looking for new mathematical tools.$

جزئیات و درخواست

By Agnieszka B. Malinowska, Dorota Mozyrska, Łukasz Sajewski
Publisher: Springer, 2019-04-17
Pages: 314
Language: en
ISBN_13:9783030173449
ISBN_10:3030173445
Subject: Technology & Engineering

Introduction To The Fractional Calculus Of Variations

$This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler-Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV.The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature./a$

جزئیات و درخواست

By Delfim F M Torres, Agnieszka Barbara Malinowska
Publisher: World Scientific Publishing Company, 2012-09-14
Pages: 292
Language: en
ISBN_13:9781848169685
ISBN_10:184816968X
Subject: Mathematics

Fractional Dynamics and Control

$Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.$

جزئیات و درخواست

By Dumitru Baleanu, José António Tenreiro Machado, Albert C. J. Luo
Publisher: Springer Science & Business Media, 2011-11-19
Pages: 302
Language: en
ISBN_13:9781461404576
ISBN_10:1461404576
Subject: Technology & Engineering

Theoretical Developments and Applications of Non-Integer Order Systems

7th Conference on Non-Integer Order Calculus and Its Applica...

$This volume is devoted to presentation of new results of research on systems of non-integer order, called also fractional systems. Their analysis and practical implementation have been the object of spontaneous development for a few last decades. The fractional order models can depict a physical plant better than the classical integer order ones. This covers different research fields such as insulator properties, visco-elastic materials, electrodynamic, electrothermal, electrochemical, economic processes modelling etc. On the other hand fractional controllers often outperform their integer order counterparts. This volume contains new ideas and examples of implementation, theoretical and pure practical aspects of using a non-integer order calculus. It is divided into four parts covering: mathematical fundamentals, modeling and approximations, controllability, observability and stability problems and practical applications of fractional control systems. The first part expands the base of tools and methods of the mathematical basis for non-integer order calculus. Part two focuses on new methods and developments in process modeling and fractional derivatives approximations. In the third part a bunch of papers which raise problems of controllability, observability and stability of non-integer order systems is provided. Part four is devoted to presentation of different fractional order control applications. This book was created thanks to many experts in the field of fractional calculus: authors, anonymous referees whose comments allowed us to improve the final form of the papers and active and inspiring discussion of the participants of RRNR'2015, the 7th Conference on Non-Integer Order Calculus and Its Applications that was organized by the Faculty of Electrical Engineering, West Pomeranian University of Technology, Szczecin, Poland.$

جزئیات و درخواست

By Stefan Domek, Paweł Dworak
Publisher: Springer, 2015-08-20
Pages: 294
Language: en
ISBN_13:9783319230399
ISBN_10:3319230395
Subject: Technology & Engineering

Theory and Applications of Non-integer Order Systems

8th Conference on Non-integer Order Calculus and Its Applica...

$This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.$

جزئیات و درخواست

By Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski
Publisher: Springer, 2016-09-15
Pages: 497
Language: en
ISBN_13:9783319454740
ISBN_10:3319454749
Subject: Technology & Engineering

Advances in Modelling and Control of Non-integer-Order Systems

6th Conference on Non-integer Order Calculus and Its Applica...

$This volume presents selected aspects of non-integer, or fractional order systems, whose analysis, synthesis and applications have increasingly become a real challenge for various research communities, ranging from science to engineering. The spectrum of applications of the fractional order calculus has incredibly expanded, in fact it would be hard to find a science/engineering-related subject area where the fractional calculus had not been incorporated. The content of the fractional calculus is ranged from pure mathematics to engineering implementations and so is the content of this volume. The volume is subdivided into six parts, reflecting particular aspects of the fractional order calculus. The first part contains a single invited paper on a new formulation of fractional-order descriptor observers for fractional-order descriptor continous LTI systems. The second part provides new elements to the mathematical theory of fractional-order systems. In the third part of this volume, a bunch of new results in approximation, modeling and simulations of fractional-order systems is given. The fourth part presents new solutions to some problems in controllability and control of non-integer order systems, in particular fractional PID-like control. The fifth part analyzes the stability of non-integer order systems and some new results are offered in this important respect, in particular for discrete-time systems. The final, sixth part of this volume presents a spectrum of applications of the noninteger order calculus, ranging from bi-fractional filtering, in particular of electromyographic signals, through the thermal diffusion and advection diffusion processes to the SIEMENS platform implementation. This volume's papers were all subjected to stimulating comments and discussions from the active audience of the RRNR'2014, the 6th Conference on Non-integer Order Calculus and Its Applications that was organized by the Department of Electrical, Control and Computer Engineering, Opole University of Technology, Opole, Poland.$

جزئیات و درخواست

By Krzysztof J. Latawiec, Marian Łukaniszyn, Rafał Stanisławski
Publisher: Springer, 2014-08-16
Pages: 296
Language: en
ISBN_13:9783319099002
ISBN_10:3319099000
Subject: Technology & Engineering

Non-Integer Order Calculus and its Applications

9th International Conference on Non-Integer Order Calculus a...

$This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, economical) as well as in multidisciplinary areas (e.g. biochemistry, electrochemistry).As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results.Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific results. The book includes papers presented at the 9th International Conference on Non-integer Order Calculus and Its Applications and is divided into three parts:• Mathematical foundations• Fractional systems analysis and synthesis• System modelingSeven papers discuss the mathematical foundations, twelve papers address fractional order analysis and synthesis and three focus on dynamical system modeling by the fractional order differential and difference equations. It is a useful resource for fractional calculus scientific community.$

جزئیات و درخواست

By Piotr Ostalczyk, Dominik Sankowski, Jacek Nowakowski
Publisher: Springer, 2018-03-22
Pages: 235
Language: en
ISBN_13:9783319784588
ISBN_10:3319784587
Subject: Technology & Engineering

Dynamic Control and Optimization

DCO 2021, Aveiro, Portugal, February 3–5, Selected, Revised ...

جزئیات و درخواست

By Tatiana V. Tchemisova, Delfim F. M. Torres, Alexander Yu. Plakhov
Publisher: Springer Nature, 2022-12-29
Pages: 244
Language: en
ISBN_13:9783031175589
ISBN_10:3031175581
Subject: Mathematics

Eesti Teaduste Akadeemia Toimetised

Izvestii͡a Akademii Nauk Ėstonii. Fizika, Matematika. Füüsik...

جزئیات و درخواست

2007
Pages: 402
Language: en
OTHER:UOM:39015072610663
Subject: Mathematics

Mathematical Economics

Mastering Mathematical Economics, Navigating the Complexitie...

$What is Mathematical Economics Within the field of economics, mathematical economics refers to the utilization of mathematical techniques for the purpose of representing ideas and analyzing situations. It is common for these applied methods to go beyond simple geometry. Some examples of these approaches include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, and other computer methods. The individuals who advocate for this method assert that it makes it possible to formulate theoretical linkages in a manner that is rigorous, general, and straightforward. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Mathematical economics Chapter 2: Navier-Stokes equations Chapter 3: Riemann curvature tensor Chapter 4: Fractional calculus Chapter 5: Step response Chapter 6: Drawdown (economics) Chapter 7: KMS state Chapter 8: Ramsey-Cass-Koopmans model Chapter 9: Lattice Boltzmann methods Chapter 10: Green's function (many-body theory) Chapter 11: Stokes's law of sound attenuation Chapter 12: Hasse-Davenport relation Chapter 13: Discrete Morse theory Chapter 14: Zonal spherical function Chapter 15: Commutation theorem for traces Chapter 16: Critical taper Chapter 17: Moving load Chapter 18: M/D/1 queue Chapter 19: Katugampola fractional operators Chapter 20: Functional differential equation Chapter 21: Recharge oscillator (II) Answering the public top questions about mathematical economics. (III) Real world examples for the usage of mathematical economics in many fields. (IV) Rich glossary featuring over 1200 terms to unlock a comprehensive understanding of mathematical economics. (eBook only). Who will benefit Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of mathematical economics.$

جزئیات و درخواست

By Fouad Sabry
Publisher: One Billion Knowledgeable, 2023-12-18
Pages: 272
Language: en
ISBN_13:9791222074009
Subject: Business & Economics

Economia Matematica

Padroneggiare l'economia matematica, navigare nelle compless...

جزئیات و درخواست

By Fouad Sabry
Publisher: One Billion Knowledgeable, 2023-12-18
Pages: 281
Language: it
ISBN_13:9791222094540
Subject: Business & Economics

数理経済学

数理経済学をマスターし、経済現象の複雑さを乗り越える

جزئیات و درخواست

By Fouad Sabry
Publisher: One Billion Knowledgeable, 2023-12-18
Pages: 249
Language: ja
ISBN_13:9791222081458
Subject: Business & Economics

Economía Matemática

Dominar la economía matemática, navegar por las complejidade...

$Qué es la economía matemática Dentro del campo de la economía, la economía matemática se refiere a la utilización de técnicas matemáticas con el fin de representar ideas y analizar situaciones. Es común que estos métodos aplicados vayan más allá de la simple geometría. Algunos ejemplos de estos enfoques incluyen cálculo diferencial e integral, ecuaciones diferenciales y en diferencias, álgebra matricial, programación matemática y otros métodos informáticos. Las personas que defienden este método afirman que permite formular vínculos teóricos de una manera rigurosa, general y sencilla. Cómo se beneficiará (I) Ideas y validaciones sobre los siguientes temas: Capítulo 1: Economía matemática Capítulo 2: Ecuaciones de Navier-Stokes Capítulo 3: Tensor de curvatura de Riemann Capítulo 4: Cálculo fraccional Capítulo 5: Respuesta al escalón Capítulo 6: Reducción (economía) Capítulo 7: Estado KMS Capítulo 8: Modelo de Ramsey-Cass-Koopmans Capítulo 9: Métodos de Lattice Boltzmann Capítulo 10: Función de Green (muchos cuerpos) teoría) Capítulo 11: Ley de atenuación del sonido de Stokes Capítulo 12: Relación de Hasse-Davenport Capítulo 13: Teoría de Morse discreta Capítulo 14: Función esférica zonal Capítulo 15: Teorema de conmutación de trazas Capítulo 16: Conicidad crítica Capítulo 17: Carga en movimiento Capítulo 18: Cola M/D/1 Capítulo 19: Operadores fraccionarios de Katugampola Capítulo 20: Ecuación diferencial funcional Capítulo 21: Oscilador de recarga (II) Respondiendo a las principales preguntas del público sobre economía matemática. (III) Ejemplos del mundo real para el uso de la economía matemática en muchos campos. (IV) ) Amplio glosario con más de 1200 términos para desbloquear una comprensión integral de la economía matemática. (Solo libro electrónico). Quién se beneficiará Profesionales, estudiantes de pregrado y posgrado, entusiastas, aficionados y aquellos que quieran ir más allá del conocimiento básico o información para cualquier tipo de economía matemática.$

جزئیات و درخواست

By Fouad Sabry
Publisher: One Billion Knowledgeable, 2023-12-18
Pages: 287
Language: es
ISBN_13:9791222089003
Subject: Business & Economics

Économie mathématique

Maîtriser l'économie mathématique, naviguer dans les complex...

$Qu'est-ce que l'économie mathématique Dans le domaine de l'économie, l'économie mathématique fait référence à l'utilisation de techniques mathématiques dans le but de représenter des idées et d'analyser des situations. Il est courant que ces méthodes appliquées dépassent la simple géométrie. Quelques exemples de ces approches comprennent le calcul différentiel et intégral, les équations différentielles et différentielles, l'algèbre matricielle, la programmation mathématique et d'autres méthodes informatiques. Les partisans de cette méthode affirment qu'elle permet de formuler des liens théoriques de manière rigoureuse, générale et directe. Comment vous en bénéficierez (I) Informations et validations sur les sujets suivants : Chapitre 1 : Économie mathématique Chapitre 2 : Équations de Navier-Stokes Chapitre 3 : Tenseur de courbure de Riemann Chapitre 4 : Calcul fractionnaire Chapitre 5 : Réponse échelonnée Chapitre 6 : Drawdown (économie) Chapitre 7 : État KMS Chapitre 8 : Modèle de Ramsey-Cass-Koopmans Chapitre 9 : Méthodes de Boltzmann sur réseau Chapitre 10 : Fonction de Green (à plusieurs corps théorie) Chapitre 11 : Loi d'atténuation acoustique de Stokes Chapitre 12 : Relation de Hasse-Davenport Chapitre 13 : Théorie Morse discrète Chapitre 14 : Fonction sphérique zonale Chapitre 15 : Théorème de commutation pour les traces Chapitre 16 : Cône critique Chapitre 17 : Charge mobile Chapitre 18 : File d'attente M/D/1 Chapitre 19 : Opérateurs fractionnaires de Katugampola Chapitre 20 : Équation différentielle fonctionnelle Chapitre 21 : Oscillateur de recharge (II) Répondre aux principales questions du public sur l'économie mathématique. (III) Exemples concrets d'utilisation de l'économie mathématique dans de nombreux domaines. (IV ) Glossaire riche comprenant plus de 1 200 termes pour débloquer une compréhension complète de l’économie mathématique. (Livre électronique uniquement). Qui en bénéficiera Professionnels, étudiants du premier cycle et des cycles supérieurs, passionnés, amateurs et ceux qui souhaitent aller au-delà des connaissances de base ou informations pour tout type d'économie mathématique.$

جزئیات و درخواست

By Fouad Sabry
Publisher: One Billion Knowledgeable, 2023-12-18
Pages: 287
Language: fr
ISBN_13:9791222091617
Subject: Business & Economics

Fractional Differential Equations

An Approach via Fractional Derivatives

$This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.$

جزئیات و درخواست

By Bangti Jin
Publisher: Springer Nature, 2021-07-22
Pages: 377
Language: en
ISBN_13:9783030760434
ISBN_10:303076043X
Subject: Mathematics

Advanced Methods in the Fractional Calculus of Variations

$This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler-Lagrange equations to include fractional derivatives. The dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of Euler-Lagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional Sturm-Liouville problems. Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering.$

جزئیات و درخواست

By Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres
2015
Language: en
ISBN_10:3319147579
ISBN_13:9783319147574

Variational and Optimal Control Problems on Unbounded Domains

جزئیات و درخواست

By Gershon Wolansky, Alexander J. Zaslavski
Publisher: American Mathematical Soc., 2014-07-01
Pages: 266
Language: en
ISBN_13:9781470410773
ISBN_10:147041077X
Subject: Mathematics

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