Oscillation Criteria for Nonlinear Fractional Differential Equations

[摘要] Several oscillation criteria are established for nonlinear fractional differential equations of the format(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0,whereD-αxis the Liouville right-side fractionalderivative of orderα∈(0, 1)ofxandηis 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.

[学科分类] 应用数学