Oscillation Theorems for Fractional Order Neutral Differential Equations

Oscillation Theorems for Fractional Order Neutral Differential Equations


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:




To download PDF files Login to your Account.


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

About Europub

EuroPub is a comprehensive, multipurpose database covering scholarly literature, with indexed records from active, authoritative journals, and indexes articles from journals all over the world. The result is an exhaustive database that assists research in every field. Easy access to a vast database at one place, reduces searching and data reviewing time considerably and helps authors in preparing new articles to a great extent. EuroPub aims at increasing the visibility of open access scholarly journals, thereby promoting their increased usage and impact.