Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations

Abstract

In this paper, we study the oscillatory theory for two classes of fractional neutral differential equations. By using fractional calculus and the Laplace transform, we obtain several new sufficient conditions for the oscillation of all solutions of this equation. Our results improve and extend some known results in the literature. Furthermore, some examples are provided to show the effectiveness and feasibility of the main results.

Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation

“…Fractional differential equations have been widely used to describe complex problems in science and engineering. For example, Wang, Long and Liu [11] studied the oscillatory theory for two classes of fractional neutral differential equations by using fractional calculus and the Laplace transform. The investigation of exact solutions of nonlinear evolution equations plays an important role in nonlinear mathematical physics.…”

“…Therefore, according to this theory and ( 10)- (11), we obtained the following propositions. Proposition 1.…”