In this paper, we develop a systematical approach in applying an asymptotic method of moving planes to investigate qualitative properties positive solutions for fractional parabolic equations. We first obtain series needed key ingredients such as narrow region principles, and various maximum strong principles antisymmetric functions both bounded unbounded domains. Then illustrate how new can be...

This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furt...