Oscillation Theorems for Fractional Order Neutral Differential Equations | Zendy

Vellaiyappaudaiyar GANESAN | Zendy; M. Sathish Kumar | Zendy

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Oscillation Theorems for Fractional Order Neutral Differential Equations

Author(s) -

Vellaiyappaudaiyar GANESAN,

M. 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 , finance , genetics , biology

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

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