The current study endeavors to put together evolution, developments, and future prospects
of internal model control strategy. Due efforts have been made to include all the techniques …

Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic
attractor in numerical simulation of a real physical process, a new scientific direction of …

Recently, many models are formulated in terms of fractional derivatives, such as in control
processing, viscoelasticity, signal processing, and anomalous diffusion. In the present …

Fractional calculus is closer to reality and has the same memory characteristics as
memristor. Therefore, a fractional-order multistable locally active memristor is proposed for …

In this paper, the Benettin–Wolf algorithm to determine all Lyapunov exponents for a class of
fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code …

In this paper, by the critical point theory, a new approach is provided to study the existence
of solutions to the following fractional boundary value problem: where 0Dt− β and tDT− β are …

In this paper, by the critical point theory, the boundary value problem is discussed for a
fractional differential equation containing the left and right fractional derivative operators …

We note that in the literature it is often taken for granted that for fractional-order system
without delays, whenever the system trajectory reaches the equilibrium, it will stay there. In …

Human evolution is divided into two parts, the evolution of DNA-dominated human body and
the evolution of brain-dominated human behavior. Therefore, the study of brain function …