Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155417 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 8 Pages |
Abstract
In this paper, some necessary and sufficient conditions are established for the oscillation of fractional-order delay differential equations with constant coefficients in the form:xâ²(t)+pD-αx(t)+qx(t-Ï)=0,0<α<1,where D-αx(t) denotes the Liouville fractional derivatives on half-axis R+, p,q and Ï are real constants. And also some oscillation results for the fractional-order neutral delay differential equations with constant coefficients in the form:-D-α(x(t)+rx(t-δ))+qx(t-Ï)=0,0<α<1,where D-αx(t) denotes the Liouville fractional derivatives on half-axis R+,q, r,Ï and δ are real constants. The results obtained here correct and improve some known results in Bolat (2014).
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Authors
Yizhuo Wang, Zhenlai Han, Shurong Sun,