In this paper we propose a generalized complex networks model, which concerns asymmetric network configuration including both neutral-type coupling delay and retarded-type one. The synchronization problem of this generalized complex networks is reformulated into the asymptotical stability problem of neutral delay functional differential equations. By introducing descriptor system transformation...

This paper is a review of applications of delay differential equations to different areas of engineering science. Starting with a general overview of delay models, we present some recent results on the use of retarded, advanced and neutral delay differential equations. An emerging area for modeling with the help of delay equations is real-time dynamic substructuring, or hybrid testing. We intro...

In this paper, the existence of mild solutions for the fractional differential equations of neutral type with infinite delay is obtained under the conditions in respect of the Kuratowski’s measure of noncompactness. As an application, the existence of mild solution for some integrodifferential equation is obtained. keywords: fractional differential equation, neutral differential equation, mild ...