where u ∈ IR are the inputs and u ∈ IR are the outputs of the system. Traditionally, in a control problem, one needs to design input functions u = u(t), or a feedback law u = u(x, t), which is based on measuring the state variables x in real-time, in order to obtain a desired motion of the output functions y(t) under (2), for tasks such as tracking a desired trajectory or stabilization of an eq...

Ahmed [1], considered study of prey-predator model with predator in disease and harvesting. In this article, a ratio-dependent predator-prey model with disease in the prey population is formulated and analyzed. Assuming that prey populations suffered from epidemics and the predator population will prefer only infected population for their diet as those are more vulnerable. Dynamical behaviours ...

In this work we present a new approach on the study of dynamical systems. Combining the two ways of expressing the uncertainty, using probabilistic theory and credibility theory, we have investigated the generalized fractional hybrid equations. We have introduced the concepts of generalized fractional Wiener process, generalized fractional Liu process and the combination between them, generaliz...

The aim of this session is to offer an overview on recent results concerning the asymptotic behaviour of solutions of stochastic and deterministic partial and ordinary differential equations. Some of the main topics, but not the only ones, in this sessions are: asymptotic dynamics of dynamical systems, in particular, existence and properties of attractors for autonomous, non-autonomous and stoc...