Oscillation Theorems for Fractional Order Neutral Differential Equations

Oscillation theorems for second order neutral differential equations

In this paper new oscillation criteria for the second order neutral differential equations of the form (E) ` r(t) [x(t) + p(t)x(τ (t))]′ ́ ′ + q(t)x(σ(t)) + v(t)x(η(t)) = 0 are presented. Gained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation. Obtained comparison ...

Oscillation Theorems for Certain Even Order Neutral Differential Equations

This paper is concerned with a class of even order nonlinear differential equations of the form d dt “ ̨

Oscillation Theorems for Second Order Advanced Neutral Differential Equations

The aim of this paper is to study the oscillation of the second order advanced neutral differential equations r(t) x(t) + p(t)x τ (t) ′ ′ + q(t)x σ(t) = 0. (E) Obtained results are based on the new comparison theorems that enable us to reduce problem of the oscillation of the second order equation to the the oscillation of the first order equations. Obtained comparison principles essentially si...

Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument