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

Qianli Lu | Zendy; Feng Cen | Zendy

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

Author(s) -

Qianli Lu,

Feng Cen

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/272198

Subject(s) - oscillation (cell signaling) , mathematics , delay differential equation , differential equation , mathematical analysis , order (exchange) , exponential function , function (biology) , constant (computer programming) , class (philosophy) , computer science , genetics , finance , evolutionary biology , artificial intelligence , economics , biology , programming language

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

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