Fractional Differential Equations on Algebroids and Fractional Algebroids

Oana Chis; Ioan Despi; Dumitru Opris

doi:10.1007/978-90-481-3293-5_15

Fractional Differential Equations on Algebroids and Fractional Algebroids

Oana Chis, Ioan Despi, Dumitru Opris

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Using Caputo fractional derivative of order α we build the fractional α tangent fiber bundle and its main geometrical structures. We consider Poisson realizations for Maxwell-Bloch and Rabinovich differential equations that allow us to construct a Leibniz algebroid structure on R³ Fractional differential equations on algebroids are defined, some conclusions and numeric simulations are provided.

Original language	English
Title of host publication	New Trends in Nanotechnology and Fractional Calculus Applications
Editors	Dumitru Baleanu, Ziya Burhanettin Guvenc, JA Tenreiro Machado
Place of Publication	Dordrecht, Netherlands
Publisher	Springer
Pages	193-201
ISBN (Print)	9789048132935, 9789048132928
DOIs	https://doi.org/10.1007/978-90-481-3293-5_15
Publication status	Published - 2010
Event	FDA 2008: 3rd IFAC Workshop on Fractional Differentiation and its Applications - Ankara, Turkey Duration: 5 Nov 2008 → 7 Nov 2008

Conference

Conference	FDA 2008: 3rd IFAC Workshop on Fractional Differentiation and its Applications
City	Ankara, Turkey
Period	5/11/08 → 7/11/08

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

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10.1007/978-90-481-3293-5_15

https://hdl.handle.net/1959.11/7898

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@inproceedings{1e61f8c950d44e5c8d310f0d238c8a27,

title = "Fractional Differential Equations on Algebroids and Fractional Algebroids",

abstract = "Using Caputo fractional derivative of order α we build the fractional α tangent fiber bundle and its main geometrical structures. We consider Poisson realizations for Maxwell-Bloch and Rabinovich differential equations that allow us to construct a Leibniz algebroid structure on R³ Fractional differential equations on algebroids are defined, some conclusions and numeric simulations are provided.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Oana Chis and Ioan Despi and Dumitru Opris",

year = "2010",

doi = "10.1007/978-90-481-3293-5\_15",

language = "English",

isbn = "9789048132935",

pages = "193--201",

editor = "Dumitru Baleanu and \{Burhanettin Guvenc\}, Ziya and \{Tenreiro Machado\}, JA",

booktitle = "New Trends in Nanotechnology and Fractional Calculus Applications",

publisher = "Springer",

note = "FDA 2008: 3rd IFAC Workshop on Fractional Differentiation and its Applications ; Conference date: 05-11-2008 Through 07-11-2008",

}

Chis, O, Despi, I & Opris, D 2010, Fractional Differential Equations on Algebroids and Fractional Algebroids. in D Baleanu, Z Burhanettin Guvenc & JA Tenreiro Machado (eds), New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht, Netherlands, pp. 193-201, FDA 2008: 3rd IFAC Workshop on Fractional Differentiation and its Applications, Ankara, Turkey, 5/11/08. https://doi.org/10.1007/978-90-481-3293-5_15

Fractional Differential Equations on Algebroids and Fractional Algebroids. / Chis, Oana; Despi, Ioan; Opris, Dumitru.
New Trends in Nanotechnology and Fractional Calculus Applications. ed. / Dumitru Baleanu; Ziya Burhanettin Guvenc; JA Tenreiro Machado. Dordrecht, Netherlands: Springer, 2010. p. 193-201.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Fractional Differential Equations on Algebroids and Fractional Algebroids

AU - Chis, Oana

AU - Despi, Ioan

AU - Opris, Dumitru

PY - 2010

Y1 - 2010

N2 - Using Caputo fractional derivative of order α we build the fractional α tangent fiber bundle and its main geometrical structures. We consider Poisson realizations for Maxwell-Bloch and Rabinovich differential equations that allow us to construct a Leibniz algebroid structure on R³ Fractional differential equations on algebroids are defined, some conclusions and numeric simulations are provided.

AB - Using Caputo fractional derivative of order α we build the fractional α tangent fiber bundle and its main geometrical structures. We consider Poisson realizations for Maxwell-Bloch and Rabinovich differential equations that allow us to construct a Leibniz algebroid structure on R³ Fractional differential equations on algebroids are defined, some conclusions and numeric simulations are provided.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - http://trove.nla.gov.au/work/36748030

U2 - 10.1007/978-90-481-3293-5_15

DO - 10.1007/978-90-481-3293-5_15

M3 - Conference contribution

SN - 9789048132935

SN - 9789048132928

SP - 193

EP - 201

BT - New Trends in Nanotechnology and Fractional Calculus Applications

A2 - Baleanu, Dumitru

A2 - Burhanettin Guvenc, Ziya

A2 - Tenreiro Machado, JA

PB - Springer

CY - Dordrecht, Netherlands

T2 - FDA 2008: 3rd IFAC Workshop on Fractional Differentiation and its Applications

Y2 - 5 November 2008 through 7 November 2008

ER -

Fractional Differential Equations on Algebroids and Fractional Algebroids

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