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تعداد نتایج: 1747

Stabilization for Some Fractional-Evolution Systems

$This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus. The volume is divided into three chapters, the first of which considers the stabilization for some abstract evolution equations with a fractional damping, the second of which validates the abstract results of chapter 1 on concrete examples, and the third of which studies the stabilization of fractional evolution systems with memory.$

جزئیات و درخواست

By Kaïs Ammari, Fathi Hassine, Luc Robbiano
Publisher: Springer Nature, 2022-10-19
Pages: 73
Language: en
ISBN_13:9783031173431
ISBN_10:3031173430
Subject: Mathematics

Fractional-Order Equations and Inclusions

$This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics. Contents Fractional Difference Equations Fractional Integral Equations Fractional Differential Equations Fractional Evolution Equations: Continued Fractional Differential Inclusions$

جزئیات و درخواست

By Michal Fečkan, JinRong Wang, Michal Pospíšil
Publisher: Walter de Gruyter GmbH & Co KG, 2017-11-07
Pages: 506
Language: en
ISBN_13:9783110521559
ISBN_10:3110521555
Subject: Mathematics

Regional Analysis of Time-Fractional Diffusion Processes

$This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest. The book’s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security. Academics and graduate students working with cyber-physical and distributed systems or interested in the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research.$

جزئیات و درخواست

By Fudong Ge, YangQuan Chen, Chunhai Kou
Publisher: Springer, 2018-01-08
Pages: 262
Language: en
ISBN_13:9783319728964
ISBN_10:3319728962
Subject: Technology & Engineering

Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order

$This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.$

جزئیات و درخواست

By Dumitru Baleanu, Octavian G Mustafa
Publisher: World Scientific, 2015-01-15
Pages: 209
Language: en
ISBN_13:9789814641111
ISBN_10:9814641111
Subject: Mathematics

Applied Analysis of Ordinary Differential Equations

جزئیات و درخواست

By Sanjeeva Balasuriya
Publisher: MDPI, 2019-11-14
Pages: 62
Language: en
ISBN_13:9783039217267
ISBN_10:3039217267
Subject: Science

Intelligent Information and Database Systems

11th Asian Conference, ACIIDS 2019, Yogyakarta, Indonesia, A...

جزئیات و درخواست

By Ngoc Thanh Nguyen, Ford Lumban Gaol, Tzung-Pei Hong, Bogdan Trawiński
Publisher: Springer, 2019-04-02
Pages: 784
Language: en
ISBN_13:9783030147990
ISBN_10:3030147991
Subject: Computers

Fuzzy Fractional Differential Operators and Equations

Fuzzy Fractional Differential Equations

$This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.$

جزئیات و درخواست

By Tofigh Allahviranloo
Publisher: Springer Nature, 2020-06-15
Pages: 303
Language: en
ISBN_13:9783030512729
ISBN_10:303051272X
Subject: Technology & Engineering

Basic Theory Of Fractional Differential Equations (Third Edition)

$This accessible monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary differential equations and evolution equations. It is self-contained and unified in presentation, and provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, Picard operators technique, critical point theory and semigroups theory. This book is based on the research work done so far by the author and other experts, and contains comprehensive up-to-date materials on the topic.In this third edition, four new topics have been added: Hilfer fractional evolution equations and infinite interval problems, oscillations and nonoscillations, fractional Hamiltonian systems, fractional Rayleigh-Stokes equations, and wave equations. The bibliography has also been updated and expanded.This book is useful to researchers, graduate or PhD students dealing with fractional calculus and applied analysis, differential equations, and related areas of research.$

جزئیات و درخواست

By Yong Zhou
Publisher: World Scientific, 2023-10-06
Pages: 516
Language: en
ISBN_13:9789811271700
ISBN_10:9811271704
Subject: Mathematics

Automatic Control, Robotics, and Information Processing

جزئیات و درخواست

By Piotr Kulczycki, Józef Korbicz, Janusz Kacprzyk
Publisher: Springer Nature, 2020-09-03
Pages: 843
Language: en
ISBN_13:9783030485870
ISBN_10:3030485870
Subject: Technology & Engineering

State Estimation and Stabilization of Nonlinear Systems

Theory and Applications

جزئیات و درخواست

By Abdellatif Ben Makhlouf, Mohamed Ali Hammami, Omar Naifar
Publisher: Springer Nature, 2023-11-06
Pages: 439
Language: en
ISBN_13:9783031379703
ISBN_10:3031379705
Subject: Technology & Engineering

Fractional Differential Equations, Inclusions and Inequalities with Applications

$During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering.$

جزئیات و درخواست

By Sotiris K. Ntouyas
Publisher: MDPI, 2020-11-09
Pages: 518
Language: en
ISBN_13:9783039432189
ISBN_10:3039432184
Subject: Mathematics

Basic Theory Of Fractional Differential Equations (Second Edition)

$This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive.In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier-Stokes equations and fractional diffusion equations.$

جزئیات و درخواست

By Yong Zhou, Jinrong Wang, Lu Zhang
Publisher: World Scientific, 2016-10-20
Pages: 380
Language: en
ISBN_13:9789813148185
ISBN_10:9813148187
Subject: Mathematics

New Technologies, Development and Application VII

Advanced Production Processes and Intelligent Sytems, Volume...

جزئیات و درخواست

By Isak Karabegovic
Publisher: Springer Nature,
Pages: 781
Language: en
ISBN_13:9783031662683
ISBN_10:3031662687

Fractional Differential Equations

A Coincidence Degree Approach

جزئیات و درخواست

By Mouffak Benchohra, Soufyane Bouriah, Abdelkrim Salim, Yong Zhou
Publisher: Walter de Gruyter GmbH & Co KG, 2023-11-20
Pages: 432
Language: en
ISBN_13:9783111334462
ISBN_10:3111334465
Subject: Technology & Engineering

Fractional Difference, Differential Equations, and Inclusions

Analysis and Stability

$The field of fractional calculus (FC) is more than 300 years old, and it presumably stemmed from a question about a fractional-order derivative raised in communication between L'Hopital and Leibniz in the year 1695. This branch of mathematical analysis is regarded as the generalization of classical calculus, as it deals with the derivative and integral operators of fractional order. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Some equations include delay effects of finite, infinite, or state-dependent nature. Others are subject to impulsive effect which may be fixed or non-instantaneous. The tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. All the abstract results are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences. Introduces notation, definitions, and foundational concepts of fractional q-calculus Presents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fréchet spaces Focuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations$

جزئیات و درخواست

By Saïd Abbas, Bashir Ahmad, Mouffak Benchohra, Abdelkrim Salim
Publisher: Elsevier, 2024-01-16
Pages: 400
Language: en
ISBN_13:9780443236020
ISBN_10:044323602X
Subject: Computers

Fractional Dispersive Models and Applications

Recent Developments and Future Perspectives

جزئیات و درخواست

By Panayotis G. Kevrekidis
Publisher: Springer Nature,
Pages: 337
Language: en
ISBN_13:9783031549786
ISBN_10:3031549783

Stability and Controls Analysis for Delay Systems

$Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, currently not presented in other books on conventional fields. Delayed exponential matrix function approach is widely used to derive the representation and stability of the solutions and the controllability. ILC design are also established, which can be regarded as a way to find the control function. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique. - Presents the representation and stability of solutions via the delayed exponential matrix function approach - Gives useful sufficient conditions to guarantee controllability - Establishes ILC design and focuses on new systems such as the first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from various subjects$

جزئیات و درخواست

By Jinrong Wang, Michal Feckan, Mengmeng Li
Publisher: Elsevier, 2022-11-26
Pages: 332
Language: en
ISBN_13:9780323997935
ISBN_10:0323997937
Subject: Technology & Engineering

Functional Differential Equations with Infinite Delay

جزئیات و درخواست

By Yoshiyuki Hino, Satoru Murakami, Toshiki Naito
Publisher: Springer, 2006-11-14
Pages: 326
Language: en
ISBN_13:9783540473886
ISBN_10:3540473882
Subject: Mathematics

Fractional Evolution Equations and Inclusions

Analysis and Control

$Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena. The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians. Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear. Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces. - Systematic analysis of existence theory and topological structure of solution sets for fractional evolution inclusions and control systems - Differential models with fractional derivative provide an excellent instrument for the description of memory and hereditary properties, and their description and working will provide valuable insights into the modelling of many physical phenomena suitable for engineers and physicists - The book provides the necessary background material required to go further into the subject and explore the rich research literature$

جزئیات و درخواست

By Yong Zhou
Publisher: Academic Press, 2016-02-05
Pages: 296
Language: en
ISBN_13:9780128047750
ISBN_10:0128047755
Subject: Mathematics

Theory of Fractional Evolution Equations

$Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.$

جزئیات و درخواست

By Yong Zhou, Bashir Ahmad, Ahmed Alsaedi
Publisher: Walter de Gruyter GmbH & Co KG, 2022-03-21
Pages: 255
Language: en
ISBN_13:9783110769364
ISBN_10:3110769360
Subject: Technology & Engineering

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