Oscillation criteria for nonlinear fractional differential equations
type: Item
instance of: scholarly article
title: Oscillation criteria for nonlinear fractional differential equations
zbMATH Open document ID: 1397.34109
DOI: 10.1155/2013/971357
author: Run Xu
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: Several oscillation criteria are established for nonlinear fractional differential equations of the form \(\{a(t)[(r(t)D^\alpha_{-}x(t))^{\prime}]^\eta\}^\prime - F(t, \int_t^\infty(v-t)^{-\alpha}x(v)dv)=0\) where \(D^\alpha_{-}x\) is the Liouville right-side fractional derivative of order \(\alpha\in(0,1)\) of \(x\) and \(\eta\) is a quotient of two odd positive integers. We also give some examples to illustrate the main results. To the best of our knowledge, the results are initiation for the oscillatory behavior of the equations.
Mathematics Subject Classification ID: 34K09
Mathematics Subject Classification ID: 34K11
zbMATH DE Number: 6950967
Wikidata QID: Q59007239
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/971357
OpenAlex ID: W2050200852
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description: scientific article; zbMATH DE number 6950967