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

Abstract EN

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.