On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 358, Issue 1, 2006, Pages 1-4

  Ahmed, E ^a   El Sayed, A M A ^b   El Saka, Hala A A ^c  

^a Mansoura University   (Egypt)

^b Alexandria University Faculty Of Science   (Egypt)

^c MANSOURA UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

CHEN SYSTEM; COUPLED MAP LATTICES; FRACTIONAL ORDER; FRACTIONAL ORDER EQUATIONS; FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS; ROUTH-HURWITZ;

DIFFERENTIAL EQUATIONS;

EID: 33746648126     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.04.087     Document Type: Article

References (8)

1. Matignon D. Stability results for fractional differential equations with applications to control processing. Computational Engineering in System Application vol. 2 (1996), Lille, France 963
2. E. Ahmed, A.M.A. El-Sayed, H.A.A. Elsaka, Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models, J. Math. Anal. Appl. (2005), in press
3. Mishina A.P., and Proskuryakov I.V. Higher Algebra (1965), Nauka, Moscow
4. Li C., and Chen G. Chaos Solitons Fractals 22 (2004) 549
5. Li C., and Chen G. Physica A 341 (2004) 55
6. Edelstein Keshet L. Mathematical Models in Biology. SIAM Classics Applied Mathematics vol. 46 (2004)
7. Kaneko K. Theory and Applications of Coupled Map Lattices (1993), Wiley, New York
8. Barnett S. Matrices (1990), Cambridge Univ. Press, Cambridge