TITLE:
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term
AUTHORS:
Vadivel Sadhasivam, Jayapal Kavitha
KEYWORDS:
Fractional, Parabolic, Oscillation, Fractional Differential Equation, Damping
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.3,
February
29,
2016
ABSTRACT: In this article, we will establish sufficient conditions for the interval oscillation of fractional partial differential equations of the form
It is based on the information only on a sequence of subintervals of the time space rather than whole half line. We consider f to be monotonous and non monotonous. By using a generalized Riccati technique, integral averaging method, Philos type kernals and new interval oscillation criteria are established. We also present some examples to illustrate our main results.