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STOCHASTIC FRACTIONAL EQUATIONS ASSOCIATED TO EULER TOP SYSTEM

GHEORGHE IVAN

Seminarul de Geometrie şi Topologie, West University of Timişoara, B-dul V. Pârvan, 300223 Timişoara, Romania

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DUMITRU OPRIŞ

Seminarul de Geometrie şi Topologie, West University of Timişoara, B-dul V. Pârvan, 300223 Timişoara, Romania

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MIHAI IVAN

Seminarul de Geometrie şi Topologie, West University of Timişoara, B-dul V. Pârvan, 300223 Timişoara, Romania

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https://doi.org/10.1142/S0219887812200186Cited by:0 (Source: Crossref)

Abstract

The main purpose of this paper is to describe the stochastic fractional differential equations associated to Euler top system. The numerical integration for the stochastic fractional model associated to Euler top system is presented.

Keywords:

AMSC: 37C20, 58J37, 65P20

References

I. D. Albu, M. Neamţu and D. Opriş, Stochastic generalized fractional HP equations and applications, BSG Proc. Int. Conf. Differential Geometry-Dynamical Systems 2009 (DGDS-2009)17 (Bucharest, Romania) pp. 1–11. Google Scholar
L. Arnold , Stochastic Differential Equations, Theory and Applications ( Wiley , 2003 ) . Google Scholar
N. Bou-Rabee, IMA J. Numer. Anal. 29, 421 (2008), DOI: 10.1093/imanum/drn018. Crossref, Web of Science, Google Scholar
M. M. El-Boraiet al., Math. Probl. Engrg. 5, 453 (2004). Google Scholar
R. A. El-Nabulsi, Int. J. Appl. Math. 17, 299 (2005). Web of Science, Google Scholar
G. Ivan and M. Ivan, Int. J. Geom. Meth. Mod. Phys. 8(5), 937 (2011), DOI: 10.1142/S0219887811005543. Link, Web of Science, Google Scholar
A. A. Kilbas , H. M. Srivastava and J. J. Trujillo , Theory and Applications of Fractional Differential Equations , North-Holland Mathematics Studies 204 ( Elsevier , 2006 ) . Google Scholar
P. S. Krishnaprasad, Optimal control and Poisson reduction, Technical Report 93–87, Institute for System Research, University of Maryland (1993) . Google Scholar
N. E. Leonard and P. S. Krishnaprasad, ESAIM, Control Optim. Calc. Var. 3, 1 (1998). Google Scholar
J. E. Marsden and T. S. Raţiu , Introduction to Mechanics and Symmetry , Applied Mathematics 17 ( Springer-Verlag , 1999 ) . Crossref, Google Scholar
D. Opriş, T. Ceauşu and A. Şandru, Procese Wiener, Liu şi hibride. Aplicaţiiîn Economie, Biologie şi Mecanică Geometrică. Simulări Numerice, Ed. Mirton, Timişoara, 2009 . Google Scholar
M. Petrera, A. Pfadlery and Y. B. Suris, Exp. Math. 18(2), 223 (2009), DOI: 10.1080/10586458.2009.10128900. Crossref, Web of Science, Google Scholar
H. K. Struemper, Motion control for nonholonomic systems on matrix Lie groups, Ph.D. thesis, University of Maryland, College Park (1997) . Google Scholar