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New Trends in Nanotechnology and Fractional Calculus Applications (Repost)

Posted By: AvaxGenius
New Trends in Nanotechnology and Fractional Calculus Applications (Repost)

New Trends in Nanotechnology and Fractional Calculus Applications by Dumitru Baleanu, Ziya B. Guvenc, J. A. Tenreiro Machado
English | PDF | 2010 | 517 Pages | ISBN : 9048132924 | 13.8 MB

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.

Applications of Fractional Calculus to Modeling in Dynamics and Chaos

Posted By: readerXXI
Applications of Fractional Calculus to Modeling in Dynamics and Chaos

Applications of Fractional Calculus to Modeling in Dynamics and Chaos
by J. F. Gómez-Aguilar and Abdon Atangana
English | 2023 | ISBN: 0367438879 | 562 Pages | True ePUB | 12.9 MB

Applied Mathematics and Fractional Calculus

Posted By: AvaxGenius
Applied Mathematics and Fractional Calculus

Applied Mathematics and Fractional Calculus by Francisco Martínez González
English | PDF | 2022 | 440 Pages | ISBN : 3036551484 | 16.3 MB

In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. These fractional and derivative integrals, which until not many years ago had been used in purely mathematical contexts, have been revealed as instruments with great potential to model problems in various scientific fields, such as: fluid mechanics, viscoelasticity, physics, biology, chemistry, dynamical systems, signal processing or entropy theory.

New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus

Posted By: AvaxGenius
New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus

New Advancements in Pure and Applied Mathematics via Fractals and Fractional Calculus by Asifa Tassaddiq
English | PDF | 2022 | 370 Pages | ISBN : 3036549056 | 15.2 MB

This book focuses on exploring new developments in both pure and applied mathematics as a result of fractional behaviour. It covers the range of ongoing activities in the context of fractional calculus by offering alternate viewpoints, workable solutions, new derivatives, and methods to solve real-world problems.

Fractional Calculus Operators and the Mittag-Leffler Function

Posted By: AvaxGenius
Fractional Calculus Operators and the Mittag-Leffler Function

Fractional Calculus Operators and the Mittag-Leffler Function by Maja Andrić
English | PDF | 2022 | 260 Pages | ISBN : N/A | 2.7 MB

Among the numerous applications of the theory of fractional calculus in almost all applied sciences, applications in numerical analysis and various fields of physics and engineering stand out. Applications of inequalities involving function integrals and their derivatives, as well as applications of fractional differentiation inequalities, have motivated many researchers to investigate extensions and generalizations using various fractional differential and integral operators. Of particular importance is the Mittag–Leffler function which, with its generalizations, appears as a solution to differential or integral equations of fractional order. This produced new results for more generalized fractional integral operators containing the Mittag–Leffler function in their kernels.

Advanced Methods in the Fractional Calculus of Variations

Posted By: AvaxGenius
Advanced Methods in the Fractional Calculus of Variations

Advanced Methods in the Fractional Calculus of Variations by Agnieszka B. Malinowska
English | PDF | 2015 | 142 Pages | ISBN : 3319147552 | 3 MB

This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives.

Functional Fractional Calculus for System Identification and Controls

Posted By: AvaxGenius
Functional Fractional Calculus for System Identification and Controls

Functional Fractional Calculus for System Identification and Controls by Shantanu Das
English | PDF(True) | 2008 | 251 Pages | ISBN : 3642091784 | 6 MB

When a new extraordinary and outstanding theory is stated, it has to face criticism and skepticism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its applications to real life problems. It is extraordinary because it does not deal with ‘ordinary’ differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, but also several practical applications are given particularly for system identification, description and then efficient controls.

Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)

Posted By: AvaxGenius
Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21)

Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) by Andrzej Dzielinski
English | PDF,EPUB | 268 Pages | ISBN : 3031043820 | 52.3 MB

This book touches upon various aspects of a very interesting, and growing in popularity category of models of dynamical systems. These are the so-called fractional-order systems. Such models are not only relevant for many fields of science and technology, but may also find numerous applications in other disciplines applying the mathematical modelling tools. Thus, the book is intended for a very wide audience of professionals who want to expand their knowledge of systems modelling and its applications.

Fractional Calculus and Special Functions with Applications

Posted By: AvaxGenius
Fractional Calculus and Special Functions with Applications

Fractional Calculus and Special Functions with Applications by Mehmet Ali Özarslan
English | PDF | 2022 | 166 Pages | ISBN : N/A | 2.7 MB

The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications due to their properties of interpolation between operators of integer order. This field has covered classical fractional operators such as Riemann–Liouville, Weyl, Caputo, Grünwald–Letnikov, etc. Also, especially in the last two decades, many new operators have appeared, often defined using integrals with special functions in the kernel, such as Atangana–Baleanu, Prabhakar, Marichev–Saigo–Maeda, and tempered, as well as their extended or multivariable forms. These have been intensively studied because they can also be useful in modelling and analysing real-world processes because of their different properties and behaviours, which are comparable to those of the classical operators.

Fractional Modeling and Controller Design of Robotic Manipulators: With Hardware Validation

Posted By: AvaxGenius
Fractional Modeling and Controller Design of Robotic Manipulators: With Hardware Validation

Fractional Modeling and Controller Design of Robotic Manipulators: With Hardware Validation by Abhaya Pal Singh
English | EPUB | 2021 | 149 Pages | ISBN : 3030582469 | 28.7 MB

This book at hand is an appropriate addition to the field of fractional calculus applied to control systems. If an engineer or a researcher wishes to delve into fractional-order systems, then this book has many collections of such systems to work upon, and this book also tells the reader about how one can convert an integer-order system into an appropriate fractional-order one through an efficient and simple algorithm. If the reader further wants to explore the controller design for the fractional-order systems, then for them, this book provides a variety of controller design strategies.

Kindergarten of Fractional Calculus

Posted By: ksveta6
Kindergarten of Fractional Calculus

Kindergarten of Fractional Calculus by Shantanu Das
2020 | ISBN: 1527544982 | English | 533 pages | PDF | 7 MB

Generalized Fractional Calculus: New Advancements and Applications

Posted By: AvaxGenius
Generalized Fractional Calculus: New Advancements and Applications

Generalized Fractional Calculus: New Advancements and Applications by George A. Anastassiou
English | PDF | 2021 | 501 Pages | ISBN : 3030569616 | 5 MB

This book deals with the quantitative fractional Korovkin type approximation of stochastic processes. Computational and fractional analysis play more and more a central role in nowadays either by themselves or because they cover a great variety of applications in the real world. The author applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities, e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions.

Fractional Modeling and Controller Design of Robotic Manipulators: With Hardware Validation

Posted By: AvaxGenius
Fractional Modeling and Controller Design of Robotic Manipulators: With Hardware Validation

Fractional Modeling and Controller Design of Robotic Manipulators: With Hardware Validation by Abhaya Pal Singh
English | PDF | 2021 | 149 Pages | ISBN : 3030582469 | 7.1 MB

This book at hand is an appropriate addition to the field of fractional calculus applied to control systems. If an engineer or a researcher wishes to delve into fractional-order systems, then this book has many collections of such systems to work upon, and this book also tells the reader about how one can convert an integer-order system into an appropriate fractional-order one through an efficient and simple algorithm. If the reader further wants to explore the controller design for the fractional-order systems, then for them, this book provides a variety of controller design strategies.

Mathematical Economics: Application of Fractional Calculus

Posted By: AvaxGenius
Mathematical Economics: Application of Fractional Calculus

Mathematical Economics: Application of Fractional Calculus by Vasily E. Tarasov
English | PDF | 2020 | 280 Pages | ISBN : 303936118X | 6.34 MB

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders.