Oscillation Theorems for Fractional Order Neutral Differential Equations

Journal Title: Journal of Applied Computer Science & Mathematics - Year 2016, Vol 10, Issue 22

Abstract

The purpose of this paper is to study the oscillation of the fractional order neutral differential equation 𝑫𝒕 𝜢[𝒓(𝒕)[𝑫𝒕 𝜢(𝒙(𝒕) + 𝒑(𝒕)𝒙(𝝉(𝒕)))]𝜸] + 𝒒(𝒕)π’™πœΈ(𝝈(𝒕)) = 𝟎, where 𝑫𝒕 𝜢(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 𝟐𝜢-order fractional differential equation to the oscillation of the first order equation. The results are easily verified

Authors and Affiliations

V. GANESAN, KUMAR M. SATHISH

Keywords

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  • EP ID EP446594
  • DOI 10.4316/JACSM.201602007
  • Views 92
  • Downloads 0

How To Cite

V. GANESAN, KUMAR M. SATHISH (2016). Oscillation Theorems for Fractional Order Neutral Differential Equations. Journal of Applied Computer Science & Mathematics, 10(22), 46-51. https://europub.co.uk/articles/-A-446594