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Book
Fractional calculus and fractional processes with applications to financial economics
Authors: --- ---
ISBN: 9780128042489 9780128042847 0128042842 0128042486 Year: 2016 Publisher: London

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Handbook of Fractional Calculus with Applications.

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"This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fifth volume collects authoritative chapters covering several applications of fractional calculus in physics, including electrodynamics, statistical physics and physical kinetics, and quantum theory. A unique, comprehensive overview of fractional calculus and its applications. With authoritative contributions from the world's leading experts. Of interest to mathematicians, physicists, and engineers."--Provided by publisher.


Book
2023 International Conference on Fractional Differentiation and Its Applications (ICFDA)
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ISBN: 9798350321685 9798350321692 Year: 2023 Publisher: IEEE

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Handbook of fractional calculus with applications
Authors: --- --- --- --- --- et al.
ISBN: 9783110570816 9783110570823 9783110570380 9783110570885 9783110570892 9783110570908 9783110570915 9783110570922 Year: 2019 Publisher: Berlin-Boston : De Gruyter,

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Mathematical techniques of fractional order systems
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ISBN: 9780128135938 012813593X 0128135921 9780128135921 9780128135921 Year: 2018 Publisher: Amsterdam, Netherlands

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Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems.--

The fractional calculus
Authors: ---
ISBN: 9780080956206 0080956203 9780125255509 0125255500 0486450015 9780486450018 Year: 1974 Publisher: New York Academic Press

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory and its particular branches, such as optimal filtering and information compression.


Book
Fractional Calculus : Theory and Applications
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Year: 2018 Publisher: Basel, Switzerland : MDPI,

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Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type.It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention.The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences.


Book
Handbook of Fractional Calculus with Applications.
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ISBN: 3110570939 3110571749 Year: 2019 Publisher: Berlin ; Boston : De Gruyter,

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This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth volume collects authoritative chapters covering several applications of fractional calculus in control theory, including fractional controllers, design methods and toolboxes, and a large number of engineering applications of control.


Book
Fractional Calculus : Theory and Applications
Author:
Year: 2018 Publisher: Basel, Switzerland : MDPI,

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Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type.It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention.The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences.


Book
Kindergarten of fractional calculus
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ISBN: 1527547116 9781527547117 9781527544987 1527544982 Year: 2020 Publisher: Newcastle upon Tyne

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