Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term

Abstract

In this article, we will establish sufficient conditions for the interval oscillation of fractional partial differential equations of the form () () 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.

Some new oscillation criteria for certain class of fractional partial differential equations with damping

“…Fractional differential equations are generalizations of classical differential equations of integer order and have gained considerable importance due to their various field such as viscoelasticity, signal processing, rheology, control theory, probability, statistics and economics, robotics etc [7,10,11,17,19,22]. Recently, the theory of fractional differential equations and their applications have been attracting more and more attention in the literature [1,8,12,15,16].…”

Oscillation properties of solutions of fractional neutral differential equations

“…Recently, there have been many studies concerning oscillation theory [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. However, only a few papers consider the oscillation of fractional neutral differential equations [14,15].…”

Oscillatory behavior of solutions of certain fractional difference equations

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