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

Shouxian Xiang, Zhenlai Han, Ping Zhao, Ying Sun
2014 Abstract and Applied Analysis  
By using a generalized Riccati transformation technique and an inequality, we establish some oscillation theorems for the fractional differential equation[atpt+qtD-αxt)γ′ − b(t)f∫t∞‍(s-t)-αx(s)ds = 0, fort⩾t0>0, whereD-αxis the Liouville right-sided fractional derivative of orderα∈(0,1)ofxandγis a quotient of odd positive integers. The results in this paper extend and improve the results given in the literatures (Chen, 2012).
doi:10.1155/2014/419597 fatcat:lbzhglzmjbaito4qdt6tuixzsq