Symmetries of nth-order approximate stochastic ordinary differential equations SODEs are studied. The determining equations of these SODEs are derived in an Itô calculus context. These determining equations are not stochastic in nature. SODEs are normally used tomodel nature e.g., earthquakes or for testing the safety and reliability of models in construction engineering when looking at the imp...

In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective.

Recently, Shehu has introduced an integral transform called transform, which generalizes the two well-known integrals transforms, i.e. Laplace and Sumudu transform. In literature, many transforms were used to compute solution of integro-differential equations (IDEs). this article, for first time, we use computation $n^{\text{th}}$-order IDEs. We present a general scheme give some examples with ...

We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, µ)x(τ(t, µ))dµ] (n−1) ] + δ d c q(t, ξ)f (x(σ (t, ξ)))dξ = 0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. have studied the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivati...