On the oscillation of fractional differential equations
Grace, Said R.
Agarwal, Ravi P.
Wong, Patricia Jia Yiing
Date of Issue2012
School of Electrical and Electronic Engineering
In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form Dqax+f1(t,x)=v(t)+f2(t,x),limt→aJ1−qax(t)=b1 , where D a q denotes the Riemann-Liouville differential operator of order q, 0 < q ≤ 1. The results are also stated when the Riemann-Liouville differential operator is replaced by Caputo’s differential operator.
DRNTU::Engineering::Electrical and electronic engineering
Fractional calculus and applied analysis