On the Oscillatory Behavior of Some Qeneralized Differential Equation

Abstract

In this article, using the Riccati-type transformation, we study the oscillatory nature of the solutions of the generalized differential equation and give some criteria of the Kamenev type that generalizes several well-known results on the topic.

The non-integer local order calculus

“…(see also 25 ). This generalized derivative, in addition to the aforementioned cases, contains as particular cases practically all known local operators and has proved its utility in various applications, see, for example, 23,30,[32][33][34][35]39,[40][41][42][43][44][45][46][47][48][49][50][51][52] Remark 15 One of the characteristics of this generalized derivative…”