On the oscillatory behaviour of solutions of nonlinear conformable fractional differential equations

Abstract

In this study, we consider the conformable fractional differential equations. Based on properties of the conformable derivative, we obtain some oscillation results for the equation. Finally, we present some examples to illustrate the main results.

Oscillation theorems for conformable fractional differential equations with damping

“…As a new research field, there are many investigations with this conformable fractional derivative [6][7][8][9][10]. Although research on the oscillation of various equations including differential equations, difference equations, dynamic equations on time scales and their fractional generalizations has been a hot topic in the literature [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], we notice that very little attention is paid to oscillation of linear/non-linear conformable fractional differential equations [26][27][28].…”

Oscillation analysis of conformable fractional generalized Lienard equations

“…Research on oscillation of various equations including differential equations, dynamic equations on time scales and their fractional generalizations has been a hot topic in [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In these investigations, we notice that very little attention is paid to oscillation of conformable fractional differential equations [21][22][23][24].…”