Reaction–diffusion systems have a broad variety of applications, particularly in biology, and it is well known that fractional calculus has been successfully used with this type system. However, analyzing these using discrete novel requires significant research diversity disciplines. Thus, paper, we investigate the discrete-time fractional-order Lengyel–Epstein system as model chlorite iodide m...

A framework of distributed interval observers is introduced for fractional-order multiagent systems in the presence nonlinearity. First, a frame was designed to construct upper and lower bounds system state. By using monotone theory, positivity error dynamics could be ensured, which implies that trap original Second, sufficient condition applied guarantee boundedness observers. Then, an extensi...

In this work, we study chaos control and synchronization of the commensurate fractional order Liu system. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate fractional order systems are discussed. The existence and uniqueness of solutions for a class of commensurate fractional order Liu systems are investigate...

The chaotic dynamics of fractional (non-integer) order systems have begun to attract much attention in recent years. In this paper, we study the projective synchronization in two coupled fractional order chaotic oscillators. It is shown that projective synchronization can also exist in coupled fractional order chaotic systems. A simple feedback control method for controlling the scaling factor ...

The performance of water flooding can be investigated by using either detail numerical modeling or simulation, or simply through the analytical Buckley-Leverett (BL) model. The Buckley-Leverett analytical technique can be applied to one-dimensional homogeneous systems. In this paper, the impact of heterogeneity on water flooding performance and fractional flow curve is investigated. First, a ba...