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تعداد نتایج: 4058

Fractal Analysis

Applications in Physics, Engineering and Technology

$Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.$

جزئیات و درخواست

By Fernando Brambila
Publisher: BoD – Books on Demand, 2017-06-14
Pages: 296
Language: en
ISBN_13:9789535131915
ISBN_10:9535131915
Subject: Mathematics

Computation and Modeling for Fractional Order Systems

$Computation and Modeling for Fractional Order Systems provides readers with problem-solving techniques for obtaining exact and/or approximate solutions of governing equations arising in fractional dynamical systems presented using various analytical, semi-analytical, and numerical methods. In this regard, this book brings together contemporary and computationally efficient methods for investigating real-world fractional order systems in one volume. Fractional calculus has gained increasing popularity and relevance over the last few decades, due to its well-established applications in various fields of science and engineering. It deals with the differential and integral operators with non-integral powers. Fractional differential equations are the pillar of various systems occurring in a wide range of science and engineering disciplines, namely physics, chemical engineering, mathematical biology, financial mathematics, structural mechanics, control theory, circuit analysis, and biomechanics, among others. The fractional derivative has also been used in various other physical problems, such as frequency-dependent damping behavior of structures, motion of a plate in a Newtonian fluid, PID controller for the control of dynamical systems, and many others. The mathematical models in electromagnetics, rheology, viscoelasticity, electrochemistry, control theory, Brownian motion, signal and image processing, fluid dynamics, financial mathematics, and material science are well defined by fractional-order differential equations. Generally, these physical models are demonstrated either by ordinary or partial differential equations. However, modeling these problems by fractional differential equations, on the other hand, can make the physics of the systems more feasible and practical in some cases. In order to know the behavior of these systems, we need to study the solutions of the governing fractional models. The exact solution of fractional differential equations may not always be possible using known classical methods. Generally, the physical models occurring in nature comprise complex phenomena, and it is sometimes challenging to obtain the solution (both analytical and numerical) of nonlinear differential equations of fractional order. Various aspects of mathematical modeling that may include deterministic or uncertain (viz. fuzzy or interval or stochastic) scenarios along with fractional order (singular/non-singular kernels) are important to understand the dynamical systems. Computation and Modeling for Fractional Order Systems covers various types of fractional order models in deterministic and non-deterministic scenarios. Various analytical/semi-analytical/numerical methods are applied for solving real-life fractional order problems. The comprehensive descriptions of different recently developed fractional singular, non-singular, fractal-fractional, and discrete fractional operators, along with computationally efficient methods, are included for the reader to understand how these may be applied to real-world systems, and a wide variety of dynamical systems such as deterministic, stochastic, continuous, and discrete are addressed by the authors of the book.$

جزئیات و درخواست

By Snehashish Chakraverty, Rajarama Mohan Jena
Publisher: Elsevier, 2024-02-20
Pages: 288
Language: en
ISBN_13:9780443154058
ISBN_10:0443154058
Subject: Mathematics

Order, Disorder And Critically: Advanced Problems Of Phase Transition Theory - Volume 4

جزئیات و درخواست

By Yurij Holovatch
Publisher: World Scientific, 2015-03-26
Pages: 230
Language: en
ISBN_13:9789814632690
ISBN_10:9814632694
Subject: Science

Fractional Equations and Models

Theory and Applications

$Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.$

جزئیات و درخواست

By Trifce Sandev, Živorad Tomovski
Publisher: Springer Nature, 2019-11-23
Pages: 357
Language: en
ISBN_13:9783030296148
ISBN_10:3030296148
Subject: Science

Physical Biology of the Cell

جزئیات و درخواست

By Rob Phillips, Jane Kondev, Julie Theriot, Hernan Garcia
Publisher: Garland Science, 2012-10-29
Pages: 1089
Language: en
ISBN_13:9781134111589
ISBN_10:1134111584
Subject: Science

Biophysics of DNA-Protein Interactions

From Single Molecules to Biological Systems

جزئیات و درخواست

By Mark C. Williams, L. James Maher, III
Publisher: Springer Science & Business Media, 2010-10-05
Pages: 354
Language: en
ISBN_13:9780387928081
ISBN_10:0387928081
Subject: Science

Computational Biology

A Statistical Mechanics Perspective

جزئیات و درخواست

By Ralf Blossey
Publisher: CRC Press, 2006-05-25
Pages: 277
Language: en
ISBN_13:9781584885566
ISBN_10:1584885564
Subject: Science

Anomalous Transport

Foundations and Applications

جزئیات و درخواست

By Rainer Klages, Günter Radons, Igor M. Sokolov
Publisher: John Wiley & Sons, 2008-09-02
Pages: 614
Language: en
ISBN_10:3527407227
ISBN_13:9783527407224
Subject: Science

Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems

جزئیات و درخواست

By Werner Ebeling, Igor Sokolov
Publisher: World Scientific Publishing Company, 2005-09-23
Pages: 342
Language: en
ISBN_13:9789813104631
ISBN_10:9813104635
Subject: Science

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

Biophysics for Beginners

A Journey through the Cell Nucleus

جزئیات و درخواست

By Helmut Schiessel
Publisher: CRC Press, 2013-12-20
Pages: 415
Language: en
ISBN_13:9789814303941
ISBN_10:9814303941
Subject: Science

Relativity and Scientific Computing

Computer Algebra, Numerics, Visualization

جزئیات و درخواست

By Friedrich W Hehl, Roland A. Puntigam, Hanns Ruder
Publisher: Springer Science & Business Media, 2012-12-06
Pages: 405
Language: en
ISBN_13:9783642957321
ISBN_10:3642957323
Subject: Science

Advances in Chemical Physics

جزئیات و درخواست

By Ilya Prigogine, Stuart A. Rice
Publisher: John Wiley & Sons, 2009-09-09
Pages: 438
Language: en
ISBN_13:9780470142288
ISBN_10:0470142286
Subject: Science

Orthodoxy and Fundamentalism

Contemporary Perspectives

جزئیات و درخواست

By Davor Džalto, George E. Demacopoulos
Publisher: Rowman & Littlefield, 2022-02-21
Pages: 249
Language: en
ISBN_13:9781978712461
ISBN_10:1978712464
Subject: Religion

Stochastic Processes for Physicists

Understanding Noisy Systems

جزئیات و درخواست

By Kurt Jacobs
Publisher: Cambridge University Press, 2010-02-18
Pages: 203
Language: en
ISBN_13:9781139486798
ISBN_10:1139486799
Subject: Science

Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 7

جزئیات و درخواست

By Yurij Holovatch
Publisher: World Scientific, 2022-12-06
Pages: 264
Language: en
ISBN_13:9789811260445
ISBN_10:9811260443
Subject: Science

Order, Disorder And Criticality: Advanced Problems Of Phase Transitions And Complex Systems - Volume 8

جزئیات و درخواست

By Yurij Holovatch
Publisher: World Scientific, 2024-10-08
Pages: 232
Language: en
ISBN_13:9789819800834
ISBN_10:9819800838
Subject: Science

Advances in Computational Neuroscience

جزئیات و درخواست

By Thomas Nowotny, Sacha Jennifer van Albada, Tatyana Sharpee, Jean-Marc Fellous, Renaud Blaise Jolivet
Publisher: Frontiers Media SA, 2022-02-23
Pages: 253
Language: en
ISBN_13:9782889745012
ISBN_10:2889745015
Subject: Science

Fractional Dynamics In Comb-like Structures

جزئیات و درخواست

By Alexander Iomin, Vicenc Mendez, Werner Horsthemke
Publisher: World Scientific, 2018-08-28
Pages: 246
Language: en
ISBN_13:9789813273450
ISBN_10:9813273453
Subject: Science

Novel Antibacterial Biomaterials for Medical Applications and Modeling of Drug Release Process

$This book provides a comprehensive review of synthesis and physicochemical and biological characterization of novel antibacterial biomaterials produced according to original procedures and aimed at medical applications such as wound dressing, soft and hard tissue implants, drug delivery devices, and carriers for cell cultivation. It is intended for all researchers working in the fields of biomaterials and biomedical engineering, as well as medical professionals, science and engineering graduate students, academics, and industrial researchers. Includes in-depth discussions on synthesis and physicochemical characterization of novel poly vinyl alcohol-based hydrogels aimed at wound dressings and soft tissue implants Explores synthesis and physicochemical characterization of novel bioceramic hydroxyapatite-based coatings on metal surface aimed for hard tissue implants Reviews cytotoxicity and antibacterial activity of novel poly vinyl alcohol-based hydrogels aimed for wound dressing and soft tissue implants Discusses cytotoxicity and antibacterial activity of bioceramic hydroxyapatite-based coatings on metal surface aimed for hard tissue implants Provides original fractional derivative models of drug release process from hydrogels and bioceramic coatings on metal surface and explores diffusion mechanism$

جزئیات و درخواست

By Vesna Mišković-Stanković, Teodor Atanackovic
Publisher: CRC Press, 2024-06-12
Pages: 284
Language: en
ISBN_13:9781040035979
ISBN_10:1040035973
Subject: Technology & Engineering

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