oscillation for a class of fractional differential equation
;Zhenlai Han;Yige Zhao;Ying Sun;Chao Zhang
Journal of the American Heart Association2013Vol. 2013pp. -
135
han2013discreteoscillation
Abstract
We consider the oscillation for a class of fractional differential equation [r(t)g(D-αy)(t)]'-p(t)f∫t∞(s-t)-αy(s)ds=0, for t>0, where 0<α<1 is a real number and D-αy is the Liouville right-sided fractional derivative of order α of y. By generalized Riccati transformation technique, oscillation criteria for a class of nonlinear fractional differential equation are obtained.