Oscillation Theorems for Fractional Order Neutral Differential Equations

Oscillation Theorems for Fractional Order Neutral Differential Equations

Journal

Subject and more

  • LCC Subject Category:
  • Publisher's keywords: Oscillation; Comparison theorem; Fractional differential equation; Modified Riemann-Liouville derivative
  • Language of fulltext: english
  • Full-text formats available: PDF
  • Time From Submission to Publication:

AUTHORS

    V. GANESAN, KUMAR M. SATHISH

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ABSTRACT

The purpose of this paper is to study the oscillation of the fractional order neutral differential equation 𝑫𝒕 𝜶[𝒓(𝒕)[𝑫𝒕 𝜶(𝒙(𝒕) + 𝒑(𝒕)𝒙(𝝉(𝒕)))]𝜸] + 𝒒(𝒕)𝒙𝜸(𝝈(𝒕)) = 𝟎, where 𝑫𝒕 𝜶(⋅) 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 𝟐𝜶-order fractional differential equation to the oscillation of the first order equation. The results are easily verified

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