Oscillation Theorems for Fractional Order Neutral Differential Equations
|Published in:||Issue 2, (Vol. 10) / 2016|
|Author(s):||GANESAN Vellaiyappaudaiyar, KUMAR Sathish M.|
|Abstract.||The purpose of this paper is to study the oscillation of the fractional order neutral differential equation π«ππΆ[π(π)[π«ππΆ(π(π)+π(π)π(π(π)))]πΈ]+π(π)ππΈπΈ(π(π))=π, where π«ππΆ(β ) is a modified Riemann-Liouville derivative. The obtained results are based on the new comparison theorems, which enable us to reduce the oscillatory problem of ππΆ-order fractional differential equation to the oscillation of the first order equation. The results are easily verified.|
|Keywords:||Oscillation; Comparison Theorem; Fractional Differential Equation; Modified Riemann-Liouville Derivative|
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