Applications in Physics, Part B

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571722
Total Pages : 328 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Physics, Part B by : Vasily E. Tarasov

Download or read book Applications in Physics, Part B written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications in Physics, Part A

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571706
Total Pages : 314 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Physics, Part A by : Vasily E. Tarasov

Download or read book Applications in Physics, Part A written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.

Basic Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110570637
Total Pages : 683 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Basic Theory by : Anatoly Kochubei

Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Applications in Control

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571749
Total Pages : 436 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Control by : Ivo Petráš

Download or read book Applications in Control written by Ivo Petráš and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications in Engineering, Life and Social Sciences, Part B

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571927
Total Pages : 292 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Engineering, Life and Social Sciences, Part B by : Dumitru Bǎleanu

Download or read book Applications in Engineering, Life and Social Sciences, Part B written by Dumitru Bǎleanu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.

Mathematical Economics

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Publisher : MDPI
ISBN 13 : 303936118X
Total Pages : 278 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Mathematical Economics by : Vasily E. Tarasov

Download or read book Mathematical Economics written by Vasily E. Tarasov and published by MDPI. This book was released on 2020-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

Fractional Integrals and Derivatives: “True” versus “False”

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Author :
Publisher : MDPI
ISBN 13 : 303650494X
Total Pages : 280 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Fractional Integrals and Derivatives: “True” versus “False” by : Yuri Luchko

Download or read book Fractional Integrals and Derivatives: “True” versus “False” written by Yuri Luchko and published by MDPI. This book was released on 2021-03-16 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional operators make sense in applications and why?’’, etc. In particular, the “new fractional derivatives and integrals” and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue.

Fractional Calculus: New Applications in Understanding Nonlinear Phenomena

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Author :
Publisher : Bentham Science Publishers
ISBN 13 : 9815051946
Total Pages : 275 pages
Book Rating : 4.8/5 (15 download)

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Book Synopsis Fractional Calculus: New Applications in Understanding Nonlinear Phenomena by : Mehmet Yavuz

Download or read book Fractional Calculus: New Applications in Understanding Nonlinear Phenomena written by Mehmet Yavuz and published by Bentham Science Publishers. This book was released on 2022-12-14 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern operators in fractional calculus have different properties which are comparable to those of classical operators.These have been intensively studied formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natural occurrences and tackle different problems. This book presents ten reviews of recent fractional operators split over three sections: 1. Chaotic Systems and Control (covers the Caputo fractional derivative, and a chaotic fractional-order financial system)2. Heat Conduction (covers the Duhamel theorem for time-dependent source terms, and the Cattaneo–Hristov model for oscillatory heat transfer)3. Computational Methods and Their Illustrative Applications (covers mathematical analysis for understanding 5 real-word phenomena: HTLV-1 infection of CD4+ T-cells, traveling waves, rumor-spreading, biochemical reactions, and the computational fluid dynamics of a non-powered floating object navigating in an approach channel) This volume is a resource for researchers in physics, biology, behavioral sciences, and mathematics who are interested in new applications of fractional calculus in the study of nonlinear phenomena.

Basic Theory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571625
Total Pages : 490 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Basic Theory by : Anatoly Kochubei

Download or read book Basic Theory written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Applications in Engineering, Life and Social Sciences, Part A

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571900
Total Pages : 256 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Engineering, Life and Social Sciences, Part A by : Dumitru Bǎleanu

Download or read book Applications in Engineering, Life and Social Sciences, Part A written by Dumitru Bǎleanu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 seventh volume collects authoritative chapters covering several applications of fractional calculus in in engineering, life, and social sciences, including applications in biology and medicine, mechanics of complex media, economy, and electrical devices.

Fractional Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111334465
Total Pages : 432 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Fractional Differential Equations by : Mouffak Benchohra

Download or read book Fractional Differential Equations written by Mouffak Benchohra and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-11-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571684
Total Pages : 360 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Numerical Methods by : George Em Karniadakis

Download or read book Numerical Methods written by George Em Karniadakis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-15 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 third volume collects authoritative chapters covering several numerical aspects of fractional calculus, including time and space fractional derivatives, finite differences and finite elements, and spectral, meshless, and particle methods.

Bifurcation and Chaos in Fractional-Order Systems

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Author :
Publisher : MDPI
ISBN 13 : 3036500928
Total Pages : 108 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Bifurcation and Chaos in Fractional-Order Systems by : Marius-F. Danca

Download or read book Bifurcation and Chaos in Fractional-Order Systems written by Marius-F. Danca and published by MDPI. This book was released on 2021-01-19 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of seven technical papers on fractional-order complex systems, especially chaotic systems with hidden attractors and symmetries, in the research front of the field, which will be beneficial for scientific researchers, graduate students, and technical professionals to study and apply. It is also suitable for teaching lectures and for seminars to use as a reference on related topics.

Fractional Thermoelasticity

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Author :
Publisher : Springer Nature
ISBN 13 : 3031645871
Total Pages : 457 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Fractional Thermoelasticity by : Yuriy Povstenko

Download or read book Fractional Thermoelasticity written by Yuriy Povstenko and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications in Physics, Part B

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Author :
Publisher : de Gruyter
ISBN 13 : 9783110570892
Total Pages : 0 pages
Book Rating : 4.5/5 (78 download)

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Book Synopsis Applications in Physics, Part B by : Anatoly N. Kochubei

Download or read book Applications in Physics, Part B written by Anatoly N. Kochubei and published by de Gruyter. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Economic Dynamics with Memory

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110627450
Total Pages : 602 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Economic Dynamics with Memory by : Vasily E. Tarasov

Download or read book Economic Dynamics with Memory written by Vasily E. Tarasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-01-18 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well.

Fractional Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571668
Total Pages : 528 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Fractional Differential Equations by : Anatoly Kochubei

Download or read book Fractional Differential Equations written by Anatoly Kochubei and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.