H C Rosu et al 2003 J. Phys. A: Math. Gen. 36 1087 doi:10.1088/0305-4470/36/4/316
H C Rosu1, A L Madueño2 and J Socorro2
Show affiliationsWe use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as a power of the independent variable which is of the same order as the order of the applied fractional derivative. We provide the solutions of the modified equation and employ the results for the case of the cosmological Riccati equation of FRW barotropic cosmologies that has been recently introduced by Faraoni.
02.30.Hq Ordinary differential equations
02.60.Lj Ordinary and partial differential equations; boundary value problems
65Lxx Ordinary differential equations
Issue 4 (31 January 2003)
Received 16 October 2002
Published 15 January 2003
H C Rosu et al 2003 J. Phys. A: Math. Gen. 36 1087
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