Oscillation Behavior for a Class of Differential Equation with Fractional‐Order Derivatives

Shouxian Xiang, Zhenlai Han, Ping Zhao and Ying Sun

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: By using a generalized Riccati transformation technique and an inequality, we establish some oscillation theorems for the fractional differential equation [a(t)pt+qtD-αxt) γ′ − b(t)f∫t∞ (s-t) -αx(s)ds = 0, for t⩾t0 > 0, where D-αx is the Liouville right‐sided fractional derivative of order α ∈ (0,1) of x and γ is a quotient of odd positive integers. The results in this paper extend and improve the results given in the literatures (Chen, 2012).

Date: 2014
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https://doi.org/10.1155/2014/419597

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:419597

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