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Fractional Dynamics In Natural Phenomena And Advanced Technologies


Fractional Dynamics In Natural Phenomena And Advanced Technologies
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Fractional Dynamics In Natural Phenomena And Advanced Technologies


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


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


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.



Fractional Calculus In Medical And Health Science


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.



Recent Developments In Theory And Applications Of Fractional Order Systems


Recent Developments In Theory And Applications Of Fractional Order Systems
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Author : Mehmet Yavuz
language : en
Publisher: Elsevier
Release Date : 2025-09-01

Recent Developments In Theory And Applications Of Fractional Order Systems written by Mehmet Yavuz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-01 with Mathematics categories.


Recent Developments in Theory and Applications of Fractional Order Systems presents a rigorous and thorough analysis of various aspects of Fractional Calculus. The book provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines. The authors present each computational modeling concept with a definition, methods, theorems, and observations followed by typical application problems and step-by-step solutions. Each topic is covered in detail, followed typically by several meticulously worked out examples and a problem set containing many additional related problems.In addition, the book discusses recent developments and the latest research on Fractional Calculus and its applications, demonstrating important applications in Engineering, Computer Science, Management, Social Science, and the Humanities. - Provides readers with a thorough understanding of fundamental concepts and methods of applied mathematics utilized in a variety of scientific and engineering disciplines - Presents a systematic introduction to most of the important special functions in Fractional Calculus that commonly arise in scientific and engineering practice - Explores many salient computational modeling properties - Analyzes theoretical and practical problems in Fractional Calculus in fields such as Engineering, Computer Science, Management, Social Science, and the Humanities



Advanced Petroleum Reservoir Simulation


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


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.



Advanced Topics In Electric Circuits


Advanced Topics In Electric Circuits
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Author : Zdzislaw Trzaska
language : en
Publisher: Springer Nature
Release Date : 2025-06-16

Advanced Topics In Electric Circuits written by Zdzislaw Trzaska and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-16 with Science categories.


This book is addressed to researchers and practitioners in the theory and applications of electric circuits. It can also serve as a textbook for Ph.D. students examining applications of modern mathematics to important issues emerging nowadays more and more often in advanced electrical and electronic systems. The book offers effective tools to facilitate the study of all those circuits and systems increasingly penetrating our world, helping to discover their hidden beauty. The material is presented in twelve chapters divided into sections. Usually, first sections are of an introductory nature, explain studied phenomena and announce numerical results. More advanced investigations are presented in subsequent sections. The center of concern is set on existing modern methods as well as continuously emerging new methods of investigations useful for researchers, engineers and practitioners active in many interdisciplinary fields, where physics, electrochemistry, and electric circuits play a key role. Coverage includes: • Principles of optimal operations of electrical circuits; • The equilibrium state of the circuit as a stationary point of its power functional; • The Gibbs effect and its consequences for circuit analysis; • Accurate calculation of complex dynamic circuits operating in non-sinusoidal periodic states; • Energy hysteresis loops in non-sinusoidal periodic states of circuits; • Optimal transformations of elements in three-phase circuits; • Analog and digital filters; • Fractals and their structures and measures; • Fibonacci, Sierpiński and Cantor circuits; • Chaos in electrical circuits; •Electrochemical impedance spectroscopy; •Circuits with nanostructures and their properties; •Circuits of fractional orders; •AI in electrical circuits. This is the first extensive description of these topics and the interpretations of analytical results and those obtained from computer simulations with MATLAB environments. Special attention is paid to nonlinear electric circuits and finally the presentation is extended to effective applications of the achievements of modern AI. Numerous examples and exercises illustrate main results of the book. The book provides readers with a better understanding of origins and properties of many new circuit structures made possible by nanotechnology and atomic microscopy.



Mathematical Analysis For Transmission Of Covid 19


Mathematical Analysis For Transmission Of Covid 19
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Author : Nita H. Shah
language : en
Publisher: Springer Nature
Release Date : 2021-04-01

Mathematical Analysis For Transmission Of Covid 19 written by Nita H. Shah and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Technology & Engineering categories.


This book describes various mathematical models that can be used to better understand the spread of novel Coronavirus Disease 2019 (COVID-19) and help to fight against various challenges that have been developed due to COVID-19. The book presents a statistical analysis of the data related to the COVID-19 outbreak, especially the infection speed, death and fatality rates in major countries and some states of India like Gujarat, Maharashtra, Madhya Pradesh and Delhi. Each chapter with distinctive mathematical model also has numerical results to support the efficacy of these models. Each model described in this book provides its unique prediction policy to reduce the spread of COVID-19. This book is beneficial for practitioners, educators, researchers and policymakers handling the crisis of COVID-19 pandemic.



Automatic Control Mechatronics And Industrial Engineering


Automatic Control Mechatronics And Industrial Engineering
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Author : Yigang He
language : en
Publisher: CRC Press
Release Date : 2019-03-20

Automatic Control Mechatronics And Industrial Engineering written by Yigang He and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Science categories.


Engineering technology development and implementation play an important role in making the industry more sustainable in an increasingly competitive world. This book covers significant recent developments in both fundamental and applied research in the engineering field. Domains of application include, but are not limited to, Intelligent Control Systems and Optimization, Signal Processing, Sensors, Systems Modeling and Control, Robotics and Automation, Industrial and Electric Engineering, Production and Management. This book is an excellent reference work to get up to date with the latest research and developments in the fields of Automation, Mechatronics and Industrial Engineering. It aims to provide a platform for researchers and professionals in all relevant fields to gain new ideas and establish great achievements in scientific development.