Oscillation Criteria for Nonlinear Fractional Differential Equations | Zendy

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Oscillation Criteria for Nonlinear Fractional Differential Equations

Author(s) -

Run Xu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/971357

Subject(s) - oscillation (cell signaling) , nonlinear system , mathematics , mathematical analysis , differential equation , physics , genetics , quantum mechanics , biology

Several oscillation criteria are established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractionalderivative of order α∈(0, 1) of x and η is a quotientof two odd positive integers. We also give some examples toillustrate the main results. To the best of our knowledge, the results are initiation for the oscillatory behavior of the equations

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