Advanced Applications Of Fractional Differential Operators To Science And Technology

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Advanced Applications of Fractional Differential Operators to Science and Technology

Matouk, Ahmed Ezzat
Advanced Applications of Fractional Differential Operators to Science and Technology Book PDF

Author : Matouk, Ahmed Ezzat
Publisher : IGI Global
Page : 401 pages
File Size : 48,5 Mb
Release : 2020-04-24
Category : Mathematics
ISBN : 9781799831242

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Advanced Applications of Fractional Differential Operators to Science and Technology by Matouk, Ahmed Ezzat Pdf

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.

Theory and Applications of Fractional Differential Equations

A.A. Kilbas,H. M. Srivastava,J.J. Trujillo
Theory and Applications of Fractional Differential Equations Book PDF

Author : A.A. Kilbas,H. M. Srivastava,J.J. Trujillo
Publisher : Elsevier
Page : 550 pages
File Size : 42,5 Mb
Release : 2006-02-16
Category : Mathematics
ISBN : 0444518320

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Theory and Applications of Fractional Differential Equations by A.A. Kilbas,H. M. Srivastava,J.J. Trujillo Pdf

This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.

Advances on Fractional Inequalities

George A. Anastassiou
Advances on Fractional Inequalities Book PDF

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
Page : 122 pages
File Size : 50,5 Mb
Release : 2011-07-25
Category : Mathematics
ISBN : 9781461407034

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Advances on Fractional Inequalities by George A. Anastassiou Pdf

Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences.

Fractional Derivatives with Mittag-Leffler Kernel

José Francisco Gómez,Lizeth Torres,Ricardo Fabricio Escobar
Fractional Derivatives with Mittag Leffler Kernel Book PDF

Author : José Francisco Gómez,Lizeth Torres,Ricardo Fabricio Escobar
Publisher : Springer
Page : 341 pages
File Size : 44,8 Mb
Release : 2019-02-13
Category : Technology & Engineering
ISBN : 9783030116620

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Fractional Derivatives with Mittag-Leffler Kernel by José Francisco Gómez,Lizeth Torres,Ricardo Fabricio Escobar Pdf

This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel. The different contributions, written by applied mathematicians, physicists and engineers, offers a snapshot of recent research in the field, highlighting the current methodological frameworks together with applications in different fields of science and engineering, such as chemistry, mechanics, epidemiology and more. It is intended as a timely guide and source of inspiration for graduate students and researchers in the above-mentioned areas.

Handbook of Research on Engineering Innovations and Technology Management in Organizations

Gaur, Loveleen,Solanki, Arun,Jain, Vishal,Khazanchi, Deepak
Handbook of Research on Engineering Innovations and Technology Management in Organizations Book PDF

Author : Gaur, Loveleen,Solanki, Arun,Jain, Vishal,Khazanchi, Deepak
Publisher : IGI Global
Page : 459 pages
File Size : 50,9 Mb
Release : 2020-04-17
Category : Technology & Engineering
ISBN : 9781799827733

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Handbook of Research on Engineering Innovations and Technology Management in Organizations by Gaur, Loveleen,Solanki, Arun,Jain, Vishal,Khazanchi, Deepak Pdf

As technology weaves itself more tightly into everyday life, socio-economic development has become intricately tied to these ever-evolving innovations. Technology management is now an integral element of sound business practices, and this revolution has opened up many opportunities for global communication. However, such swift change warrants greater research that can foresee and possibly prevent future complications within and between organizations. The Handbook of Research on Engineering Innovations and Technology Management in Organizations is a collection of innovative research that explores global concerns in the applications of technology to business and the explosive growth that resulted. Highlighting a wide range of topics such as cyber security, legal practice, and artificial intelligence, this book is ideally designed for engineers, manufacturers, technology managers, technology developers, IT specialists, productivity consultants, executives, lawyers, programmers, managers, policymakers, academicians, researchers, and students.

Research Advancements in Smart Technology, Optimization, and Renewable Energy

Vasant, Pandian,Weber, Gerhard,Punurai, Wonsiri
Research Advancements in Smart Technology Optimization and Renewable Energy Book PDF

Author : Vasant, Pandian,Weber, Gerhard,Punurai, Wonsiri
Publisher : IGI Global
Page : 407 pages
File Size : 54,8 Mb
Release : 2020-08-07
Category : Technology & Engineering
ISBN : 9781799839712

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Research Advancements in Smart Technology, Optimization, and Renewable Energy by Vasant, Pandian,Weber, Gerhard,Punurai, Wonsiri Pdf

As environmental issues remain at the forefront of energy research, renewable energy is now an all-important field of study. And as smart technology continues to grow and be refined, its applications broaden and increase in their potential to revolutionize sustainability studies. This potential can only be fully realized with a thorough understanding of the most recent breakthroughs in the field. Research Advancements in Smart Technology, Optimization, and Renewable Energy is a collection of innovative research that explores the recent steps forward for smart applications in sustainability. Featuring coverage on a wide range of topics including energy assessment, neural fuzzy control, and biogeography, this book is ideally designed for advocates, policymakers, engineers, software developers, academicians, researchers, and students.

Industrial Internet of Things and Cyber-Physical Systems: Transforming the Conventional to Digital

Kumar, Pardeep,Ponnusamy, Vasaki,Jain, Vishal
Industrial Internet of Things and Cyber Physical Systems Transforming the Conventional to Digital Book PDF

Author : Kumar, Pardeep,Ponnusamy, Vasaki,Jain, Vishal
Publisher : IGI Global
Page : 431 pages
File Size : 42,7 Mb
Release : 2020-05-22
Category : Computers
ISBN : 9781799828051

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Industrial Internet of Things and Cyber-Physical Systems: Transforming the Conventional to Digital by Kumar, Pardeep,Ponnusamy, Vasaki,Jain, Vishal Pdf

With the help of artificial intelligence, machine learning, and big data analytics, the internet of things (IoT) is creating partnerships within industry where machines, processes, and humans communicate with one another. As this radically changes traditional industrial operations, this results in the rapid design, cheap manufacture, and effective customization of products. Answering the growing demand of customers and their preferences has become a challenge for such partnerships. Industrial Internet of Things and Cyber-Physical Systems: Transforming the Conventional to Digital is a collection of innovative research that discusses development, implementation, and business impacts of IoT technologies on sustainable societal development and improved life quality. Highlighting a wide range of topics such as green technologies, wireless networks, and IoT policy, this book is ideally designed for technology developers, entrepreneurs, industrialists, programmers, engineers, technicians, researchers, academicians, and students.

Strategies to Overcome Superbug Invasions: Emerging Research and Opportunities

Chopra, Dimple Sethi,Kaul, Ankur
Strategies to Overcome Superbug Invasions Emerging Research and Opportunities Book PDF

Author : Chopra, Dimple Sethi,Kaul, Ankur
Publisher : IGI Global
Page : 319 pages
File Size : 41,9 Mb
Release : 2021-06-25
Category : Medical
ISBN : 9781799803096

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Strategies to Overcome Superbug Invasions: Emerging Research and Opportunities by Chopra, Dimple Sethi,Kaul, Ankur Pdf

Recently, there has been an upsurge in microbial infections. Extensive and inappropriate usage of antimicrobial drugs in treating infections has led to the evolution of a resistant strain of microorganisms and irreversible immunosuppression in humans. Medical institutions and hospitals require solutions to combat these contagions in order to avoid future epidemics. Strategies to Overcome Superbug Invasions: Emerging Research and Opportunities highlights current research and potential strategies to prevent the emergence and re-emergence of drug-resistant pathogenic microbial strains. The content within this publication examines biosensing, global initiatives, nanomaterials, and alternative therapies. It is designed for microbiologists, biotechnologists, pharmacists, pharmacologists, virologists, formulation scientists, infectious disease specialists, government officials, policymakers, healthcare practitioners, doctors, nurses, hospital directors, researchers, surgeons, and academicians who are seeking research on innovative solutions for multi-drug-resistant infections.

General Fractional Derivatives

Xiao-Jun Yang
General Fractional Derivatives Book PDF

Author : Xiao-Jun Yang
Publisher : CRC Press
Page : 306 pages
File Size : 42,8 Mb
Release : 2019-05-10
Category : Mathematics
ISBN : 9780429811524

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General Fractional Derivatives by Xiao-Jun Yang Pdf

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the modern developments in theoretical and applied science. Features: Give some new results for fractional calculus of constant and variable orders. Discuss some new definitions for fractional calculus with respect to another function. Provide definitions for general fractional calculus of constant and variable orders. Report new results of general fractional calculus with respect to another function. Propose news special functions with respect to another function and their applications. Present new models for the anomalous relaxation and rheological behaviors. This book serves as a reference book and textbook for scientists and engineers in the fields of mathematics, physics, chemistry and engineering, senior undergraduate and graduate students. Dr. Xiao-Jun Yang is a full professor of Applied Mathematics and Mechanics, at China University of Mining and Technology, China. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Modelling and Analysis, International Journal of Numerical Methods for Heat & Fluid Flow, and Thermal Science.

New Trends in Fractional Differential Equations with Real-World Applications in Physics

Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch
New Trends in Fractional Differential Equations with Real World Applications in Physics Book PDF

Author : Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch
Publisher : Frontiers Media SA
Page : 172 pages
File Size : 51,5 Mb
Release : 2020-12-30
Category : Science
ISBN : 9782889663040

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New Trends in Fractional Differential Equations with Real-World Applications in Physics by Jagdev Singh,Jordan Yankov Hristov,Zakia Hammouch Pdf

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

The Analysis of Fractional Differential Equations

Kai Diethelm
The Analysis of Fractional Differential Equations Book PDF

Author : Kai Diethelm
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 43,9 Mb
Release : 2010-09-03
Category : Mathematics
ISBN : 9783642145735

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The Analysis of Fractional Differential Equations by Kai Diethelm Pdf

Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.

Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering

Praveen Agarwal,Shilpi Jain
Advances in Special Functions of Fractional Calculus Special Functions in Fractional Calculus and Their Applications in Engineering Book PDF

Author : Praveen Agarwal,Shilpi Jain
Publisher : Bentham Science Publishers
Page : 304 pages
File Size : 47,7 Mb
Release : 2023-04-11
Category : Mathematics
ISBN : 9789815079333

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Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering by Praveen Agarwal,Shilpi Jain Pdf

In recent years, special functions have been developed and applied in a variety of fields, such as combinatorics, astronomy, applied mathematics, physics, and engineering due to their remarkable properties. This volume expands our understanding of special functions by highlighting recent trends in numerical analysis. Interesting applications of special functions and partial differential equations are demonstrated by 15 chapters. Many chapters highlight the importance of numerical techniques and the results of complex analysis. Contributions in the book emphasize the mathematical treatment of questions arising in natural sciences and engineering, particularly those that involve novel problems and their solutions. This volume is a timely update for mathematicians and researchers interested in advanced numerical methods and computational techniques used to solve complex problems List of Chapters 1. Modified Adaptive Synchronization and Anti Synchronization method for Fractional order chaotic systems with uncertain parameters 2. Improved generalized differential transform method for a class of linear non homogeneous ordinary fractional differential equation 3. Incomplete K2-Function 4. Some Results On Incomplete Hypergeometric Functions 5. Transcendental Bernstein Series: Interpolation and Approximation 6. Some Sufficient Conditions For Uniform Convexity Of Normalized 1F2 Function 7. From Abel continuity theorem to Paley-Wiener theorem… 8. A New Class of Truncated Exponential-Gould-Hopper basedGenocchi Polynomials 9. Computational preconditioned Gauss-Seidel via half-sweep approximation to Caputo's time fractional differential equations 10. Krasnoselskii-type Theorems for Monotone Operators in Ordered Banach Algebra with Applications in Fractional Differential Equations and Inclusion 11. General fractional order quadratic functional integral equations: Existence, properties of solutions and some of its Applications 12.Nonlinear set-valued delay functional integral equations of Volterra-Stieltjes type: Existence of solutions, continuous dependence and applications 13.Certain Saigo Fractional Derivatives Of Extended Hypergeometric Functions 14. Some Erdelyi-kober Fractional Integrals Of The Extended Hypergeometric Functions 15. On solutions of Kinetic Model by Sumudu transform

Fractional Differential Equations And Inclusions: Classical And Advanced Topics

Said Abbas,Mouffak Benchohra,Jamal Eddine Lazreg,Juan J Nieto,Yong Zhou
Fractional Differential Equations And Inclusions Classical And Advanced Topics Book PDF

Author : Said Abbas,Mouffak Benchohra,Jamal Eddine Lazreg,Juan J Nieto,Yong Zhou
Publisher : World Scientific
Page : 326 pages
File Size : 53,7 Mb
Release : 2023-02-02
Category : Mathematics
ISBN : 9789811261275

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Fractional Differential Equations And Inclusions: Classical And Advanced Topics by Said Abbas,Mouffak Benchohra,Jamal Eddine Lazreg,Juan J Nieto,Yong Zhou Pdf

This monograph is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for various classes of functional differential equations or inclusions involving the Hadamard or Hilfer fractional derivative. Some equations present delay which may be finite, infinite, or state-dependent. Others are subject to impulsive effect which may be fixed or non-instantaneous.Readers will find the book self-contained and unified in presentation. It provides the necessary background material required to go further into the subject and explores the rich research literature in detail. Each chapter concludes with a section devoted to notes and bibliographical remarks and all abstract results are illustrated by examples. The tools used include many classical and modern nonlinear analysis methods such as fixed-point theorems, as well as some notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. It is useful for researchers and graduate students for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and all other applied sciences.

Fractional Calculus with its Applications in Engineering and Technology

Yi Yang,Haiyan Henry Zhang
Fractional Calculus with its Applications in Engineering and Technology Book PDF

Author : Yi Yang,Haiyan Henry Zhang
Publisher : Morgan & Claypool Publishers
Page : 109 pages
File Size : 45,6 Mb
Release : 2019-03-28
Category : Technology & Engineering
ISBN : 9781681735177

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Fractional Calculus with its Applications in Engineering and Technology by Yi Yang,Haiyan Henry Zhang Pdf

This book aims to provide the basic theory of fractional calculus and its applications based on practical schemes and approaches, illustrated with applicable engineering and technical examples, especially focusing on the fractional-order controller design. In the development of this book, the essential theorems and facts in the first two chapters are proven with rigorous mathematical analyses. In addition, the commonly used definitions of Grünwald-Letnikov, Riemann-Liouville, Caputo, and Miller-Ross fractional derivatives are introduced with their properties proved and linked to fractional-order controller design. The last chapter presents several enlightening scenarios of fractional-order control designs, for example, the suppression of machining chatter, the nonlinear motion control of a multilink robot, the simultaneous tracking and stabilization control of a rotary inverted pendulum, and the idle speed control of an internal combustion engine (ICE).

Functional Fractional Calculus for System Identification and Controls

Shantanu Das
Functional Fractional Calculus for System Identification and Controls Book PDF

Author : Shantanu Das
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 46,8 Mb
Release : 2007-09-26
Category : Technology & Engineering
ISBN : 9783540727033

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Functional Fractional Calculus for System Identification and Controls by Shantanu Das Pdf

In this book, not only are mathematical abstractions discussed in a lucid manner, but also several practical applications are given particularly for system identification, description and then efficient controls. The reader gets a feeling of the wide applicability of fractional calculus in the field of science and engineering. With this book, a starter can understand the concepts of this emerging field with a minimal effort and basic mathematics.