Fractional Dynamics In Natural Phenomena And Advanced Technologies
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Fractional Dynamics In Natural Phenomena And Advanced Technologies
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Author : Dumitru Baleanu
language : en
Publisher:
Release Date : 2024
Fractional Dynamics In Natural Phenomena And Advanced Technologies written by Dumitru Baleanu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.
This book addresses different applied problems in order to demonstrate the feasibility of fractional calculus' use, irrespective of the type of memory kernels used, to model varieties of natural phenomena and new processes emerging in advanced technologies. In this context, the book's focus is on modelling, adequate results, and interpretations, rather than theorems and proofs. The book includes a total of 12 chapters, representing various aspects of applied fractional modelling and covering important issues in modern technologies to provide a better understanding of applications of fractional calculus in applied modelling. The book will be a versatile source of information for undergraduate and graduate students, and for scientists involved in modelling of nonlinear and hereditary phenomena.
Fractional Dynamics In Natural Phenomena And Advanced Technologies
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Author : Dumitru Baleanu
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2024-01-29
Fractional Dynamics In Natural Phenomena And Advanced Technologies written by Dumitru Baleanu 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 2024-01-29 with Juvenile Nonfiction categories.
This book addresses different applied problems in order to demonstrate the feasibility of fractional calculus’ use, irrespective of the type of memory kernels used, to model varieties of natural phenomena and new processes emerging in advanced technologies. In this context, the book’s focus is on modelling, adequate results, and interpretations, rather than theorems and proofs. The book includes a total of 12 chapters, representing various aspects of applied fractional modelling and covering important issues in modern technologies to provide a better understanding of applications of fractional calculus in applied modelling. The book will be a versatile source of information for undergraduate and graduate students, and for scientists involved in modelling of nonlinear and hereditary phenomena.
Advanced Applications Of Fractional Differential Operators To Science And Technology
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Author : Matouk, Ahmed Ezzat
language : en
Publisher: IGI Global
Release Date : 2020-04-24
Advanced Applications Of Fractional Differential Operators To Science And Technology written by Matouk, Ahmed Ezzat and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-24 with Mathematics categories.
Fractional-order calculus dates to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new modeling technique that engineers and scientists are finding modern uses for. There is a need for research on all facets of these fractional-order systems and studies of its potential applications. Advanced Applications of Fractional Differential Operators to Science and Technology provides emerging research exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviors as well as its applications within the fields of physical sciences and engineering. Featuring coverage on a broad range of topics such as chaotic dynamics, ecological models, and bifurcation control, this book is ideally designed for engineering professionals, mathematicians, physicists, analysts, researchers, educators, and students seeking current research on fractional calculus and other applied mathematical modeling techniques.
New Trends In Nanotechnology And Fractional Calculus Applications
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Author : Dumitru Baleanu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-14
New Trends In Nanotechnology And Fractional Calculus Applications written by Dumitru Baleanu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-14 with Technology & Engineering categories.
In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.
Fractional Calculus In Medical And Health Science
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Author : Devendra Kumar
language : en
Publisher: CRC Press
Release Date : 2020-07-09
Fractional Calculus In Medical And Health Science written by Devendra Kumar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-09 with Mathematics categories.
This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them. The mathematical results included in the book will be helpful to mathematicians and doctors by enabling them to explain real-life problems accurately. The book will also offer case studies of real-life situations with an emphasis on describing the mathematical results and showing how to apply the results to medical and health science, and at the same time highlighting modeling strategies. The book will be useful to graduate level students, educators and researchers interested in mathematics and medical science.
Advanced Petroleum Reservoir Simulation
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Author : M. R. Islam
language : en
Publisher: John Wiley & Sons
Release Date : 2016-08-11
Advanced Petroleum Reservoir Simulation written by M. R. Islam and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-11 with Technology & Engineering categories.
This second edition of the original volume adds significant new innovations for revolutionizing the processes and methods used in petroleum reservoir simulations. With the advent of shale drilling, hydraulic fracturing, and underbalanced drilling has come a virtual renaissance of scientific methodologies in the oil and gas industry. New ways of thinking are being pioneered, and Dr. Islam and his team have, for years now, been at the forefront of these important changes. This book clarifies the underlying mathematics and physics behind reservoir simulation and makes it easy to have a range of simulation results along with their respective probability. This makes the risk analysis based on knowledge rather than guess work. The book offers by far the strongest tool for engineers and managers to back up reservoir simulation predictions with real science. The book adds transparency and ease to the process of reservoir simulation in way never witnessed before. Finally, No other book provides readers complete access to the 3D, 3-phase reservoir simulation software that is available with this text. A must-have for any reservoir engineer or petroleum engineer working upstream, whether in exploration, drilling, or production, this text is also a valuable textbook for advanced students and graduate students in petroleum or chemical engineering departments.
Advanced Topics In Contemporary Physics For Engineering
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Author : Rui F. M. Lobo
language : en
Publisher: CRC Press
Release Date : 2022-12-21
Advanced Topics In Contemporary Physics For Engineering written by Rui F. M. Lobo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Science categories.
This book highlights cutting-edge topics in contemporary physics, discussing exciting advances and new forms of thinking in evolving fields with emphases both on natural phenomena and applications to modern engineering. It provides material for thought and practice in nanophysics, plasma physics, and electrodynamics. Nanophysics and plasmas are synergic physical areas where the whole is more than the sum of the parts (quantum, atomic and molecular, electrodynamics, photonics, condensed matter, thermodynamics, transport phenomena). The authors emphasize both fundamentals and more complex concepts, making the contents accessible as well challenging. Nanoscale properties and physical phenomena are explained under the umbrella of quantum physics. Advances made in the physical knowledge of the nanoworld, and its metrology are addressed, along with experimental achievements which have furthered studies of extreme weak forces present at nano- or sub-micron scales. The book does not focus in detail on the diversity of applications in nanotechnology and instrumentation, considering that the reader already has basic prior knowledge on that. It also covers an introduction to plasma universe phenomenology, the basics of advanced mathematics applied to the electromagnetic field, longitudinal forces in the vacuum, concepts of helicity and topological torsion, SU(2) representation of Maxwell equations, 2D representation of the electromagnetic field, the use of the fractional derivative, and ergontropic dynamics. The chapters include theory, applications, bibliographic references, and solved exercises. The synergies of the book’s topics demonstrate their potential in critical issues, such as relieving humans from barriers imposed by energetic and entropic dependencies and penetrating the realm of weak forces at the nanoscale. The book will boost both post-graduate students and mature scientists to implement new scientific and technological projects.
Fractional Dynamics In Comb Like Structures
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Author : Alexander Iomin
language : en
Publisher: World Scientific
Release Date : 2018-08-28
Fractional Dynamics In Comb Like Structures written by Alexander Iomin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Science categories.
Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. Combs are simple caricatures of various types of natural branched structures that belong to the category of loopless graphs. The comb model was introduced to understand anomalous transport in percolation clusters. Comb-like models have been widely adopted to describe kinetic processes in various experimental applications in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex types of random walks, such as non-Markovian continuous-time random walks. The simplicity of comb models allows to perform a rigorous analysis and to obtain exact analytical results for various types of random walks and reaction-transport processes.
Introduction To The Fractional Calculus Of Variations
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Author : Delfim F M Torres
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-09-14
Introduction To The Fractional Calculus Of Variations written by Delfim F M Torres and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.
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
Fractional Order Systems And Applications In Engineering
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Author : Dumitru Baleanu
language : en
Publisher: Academic Press
Release Date : 2022-11-17
Fractional Order Systems And Applications In Engineering written by Dumitru Baleanu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-17 with Science categories.
Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques. - Provides the most recent and up-to-date developments on the Fractional-order Systems and their analyzing process - Integrates recent advancements of modeling of real phenomena (on Fractional-order Systems) via different-different mathematical equations with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering - Provides readers with illustrative examples of how to use the presented theories of Fractional-order Systems in specific cases with associated MATLAB code