Open AccessOscillation Theorems for Fractional Order Neutral Differential Equations
Author(s) -
G. Venkatesan,
Sathish Kumar
Publication year - 2016
Publication title -
journal of applied computer science and mathematics/journal of applied computer science
Language(s) - English
Resource type - Journals
eISSN - 2066-3129
pISSN - 1843-1046
DOI - 10.4316/jacsm.201602007
Subject(s) - oscillation (cell signaling) , order (exchange) , mathematics , differential equation , mathematical analysis , economics , chemistry , biochemistry , finance
The purpose of this paper is to study the oscillation of the fractional order neutral differential equation [()[(()+()(()))]]+()(())=, where (⋅) 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 -order fractional differential equation to the oscillation of the first order equation. The results are easily verified.\u