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Introduction to Fractional Differential Equations
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| Personen und Körperschaften: | , , |
|---|---|
| Titel: | Introduction to Fractional Differential Equations/ by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado |
| Format: | E-Book |
| Sprache: | Englisch |
| veröffentlicht: |
Cham
Springer International Publishing
2019
|
| Gesamtaufnahme: |
Nonlinear Systems and Complexity Springer eBook Collection SpringerLink |
| Schlagwörter: | |
| Quelle: | Verbunddaten SWB |
| LEADER | 04757cam a22010212 4500 | ||
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| 100 | 1 | |a Milici, Constantin |e VerfasserIn |4 aut | |
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| 520 | |a This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus - a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods. Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus | ||
| 520 | |a Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods | ||
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| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Operational calculus. | |
| 650 | 0 | |a Computational complexity. | |
| 700 | 1 | |a Drăgănescu, Gheorghe |e VerfasserIn |4 aut | |
| 700 | 1 | |a Tenreiro Machado, J. |e VerfasserIn |4 aut | |
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| author | Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J. |
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| contents | This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus - a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods. Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus, Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods |
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| spelling | Milici, Constantin VerfasserIn aut, Introduction to Fractional Differential Equations by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado, Cham Springer International Publishing 2019, Online-Ressource (XIII, 188 p. 32 illus., 29 illus. in color, online resource), Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, Nonlinear Systems and Complexity 25, Springer eBook Collection, SpringerLink Bücher, This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus - a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods. Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus, Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods, Springer eBook Collection. Engineering, Mathematical optimization, Engineering, Engineering mathematics, Integral Transforms, Engineering Mathematics, Calculus of variations., Operational calculus., Computational complexity., Drăgănescu, Gheorghe VerfasserIn aut, Tenreiro Machado, J. VerfasserIn aut, 9783030008949, 9783030008963, Erscheint auch als Druck-Ausgabe 978-3-030-00894-9, Printed edition 9783030008949, Printed edition 9783030008963, https://doi.org/10.1007/978-3-030-00895-6 X:SPRINGER Verlag lizenzpflichtig Volltext, http://dx.doi.org/10.1007/978-3-030-00895-6 Resolving-System Volltext, https://zbmath.org/?q=an:1417.34004 B:ZBM 2021-04-12 Verlag Zentralblatt MATH Inhaltstext, https://doi.org/10.1007/978-3-030-00895-6 DE-14, DE-14 epn:3588573119 2020-02-06T11:11:07Z, https://doi.org/10.1007/978-3-030-00895-6 DE-Ch1, DE-Ch1 epn:3391891432 2018-11-30T16:10:44Z, DE-105 epn:3391891521 2018-12-10T12:17:39Z, https://doi.org/10.1007/978-3-030-00895-6 DE-Zwi2, DE-Zwi2 epn:3391891661 2018-11-08T17:22:32Z |
| spellingShingle | Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J., Introduction to Fractional Differential Equations, This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus - a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods. Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus, Introduction -- Special Functions -- Fractional derivative and integral -- The Laplace transform -- Fractional differential equations -- Generalized systems -- Numerical methods, Mathematical optimization, Engineering, Engineering mathematics, Integral Transforms, Engineering Mathematics, Calculus of variations., Operational calculus., Computational complexity. |
| swb_id_str | 512547742 |
| title | Introduction to Fractional Differential Equations |
| title_auth | Introduction to Fractional Differential Equations |
| title_full | Introduction to Fractional Differential Equations by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado |
| title_fullStr | Introduction to Fractional Differential Equations by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado |
| title_full_unstemmed | Introduction to Fractional Differential Equations by Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado |
| title_short | Introduction to Fractional Differential Equations |
| title_sort | introduction to fractional differential equations |
| title_unstemmed | Introduction to Fractional Differential Equations |
| topic | Mathematical optimization, Engineering, Engineering mathematics, Integral Transforms, Engineering Mathematics, Calculus of variations., Operational calculus., Computational complexity. |
| topic_facet | Mathematical optimization, Engineering, Engineering mathematics, Integral Transforms, Engineering Mathematics, Calculus of variations., Operational calculus., Computational complexity. |
| url | https://doi.org/10.1007/978-3-030-00895-6, http://dx.doi.org/10.1007/978-3-030-00895-6, https://zbmath.org/?q=an:1417.34004 |
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