The Oscillation of a Class of the Fractional-Order Delay Differential Equations

Qianli Lu and Feng Cen

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-7

Abstract:

Several oscillation results are proposed including necessary and sufficient conditions for the oscillation of fractional-order delay differential equations with constant coefficients, the sufficient or necessary and sufficient conditions for the oscillation of fractional-order delay differential equations by analysis method, and the sufficient or necessary and sufficient conditions for the oscillation of delay partial differential equation with three different boundary conditions. For this, α -exponential function which is a kind of functions that play the same role of the classical exponential functions of fractional-order derivatives is used.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:272198

DOI: 10.1155/2014/272198

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