Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
San Diego
Academic Press
1999
|
| Series: | Mathematics in science and engineering
v. 198 |
| Subjects: | |
| Physical Description: | 1 online resource (xxiv, 340 pages) illustrations |
| ISBN: | 9780080531984 0080531989 0125588402 9780125588409 |
Staff View
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| 245 | 1 | 0 | |a Fractional differential equations |b an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications |c by Igor Podlubny |
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| 505 | 8 | |a This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives | |
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| author | Podlubny, Igor |
| author_facet | Podlubny, Igor |
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| contents | This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| spelling | Podlubny, Igor Verfasser aut Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications by Igor Podlubny San Diego Academic Press 1999 1 online resource (xxiv, 340 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Mathematics in science and engineering v. 198 This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Differential equations fast Differential equations / Numerical solutions fast Fractional calculus fast Differentiaalvergelijkingen gtt Differential equations Numerical solutions Fractional calculus Differential equations Fraktal (DE-588)4123220-3 gnd rswk-swf Laplace-Transformation (DE-588)4034577-4 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Differentialgleichung (DE-588)4012249-9 s 2\p DE-604 Fraktal (DE-588)4123220-3 s 3\p DE-604 Laplace-Transformation (DE-588)4034577-4 s 4\p DE-604 Erscheint auch als Druck-Ausgabe Podlubny, Ogor Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications San Diego : Academic Press, 1999 0125588402 9780125588409 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Podlubny, Igor Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. Key Features * A unique survey of many applications of fractional calculus * Presents basic theory * Includes a unified presentation of selected classical results, which are important for applications * Provides many examples * Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory * The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches * Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Differential equations fast Differential equations / Numerical solutions fast Fractional calculus fast Differentiaalvergelijkingen gtt Differential equations Numerical solutions Fractional calculus Differential equations Fraktal (DE-588)4123220-3 gnd Laplace-Transformation (DE-588)4034577-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4123220-3 (DE-588)4034577-4 (DE-588)4012249-9 (DE-588)4151278-9 |
| title | Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications |
| title_auth | Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications |
| title_exact_search | Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications |
| title_full | Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications by Igor Podlubny |
| title_fullStr | Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications by Igor Podlubny |
| title_full_unstemmed | Fractional differential equations an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications by Igor Podlubny |
| title_short | Fractional differential equations |
| title_sort | fractional differential equations an introduction to fractional derivatives fractional differential equations to methods of their solution and some of their applications |
| title_sub | an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications |
| topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Differential equations fast Differential equations / Numerical solutions fast Fractional calculus fast Differentiaalvergelijkingen gtt Differential equations Numerical solutions Fractional calculus Differential equations Fraktal (DE-588)4123220-3 gnd Laplace-Transformation (DE-588)4034577-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Differential equations Differential equations / Numerical solutions Fractional calculus Differentiaalvergelijkingen Differential equations Numerical solutions Fractional calculus Differential equations Fraktal Laplace-Transformation Differentialgleichung Einführung |
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