Abstract The impulsive synchronization of a fractional-order complex-variable network is investigated. Firstly, static controllers are designed and the corresponding criteria derived. From criteria, gains can be calculated. Secondly, adaptive designed. Noticeably, adjusted to needed values adaptively. Finally, numerical examples provided verify results.

A novel Hermite radial basis function-based differential quadrature (H-RBF-DQ) method is presented in this paper based on 2D variable order time fractional advection–diffusion equations with Neumann boundary conditions. The proposed designed to treat accurately for derivative conditions, which considerably improve the approximation results and extend range of applicability RBF-DQ. advantage pre...

Implantation of neuroprosthetic electrodes induces a stereotypical state of neuroinflammation, which is thought to be detrimental for the neurons surrounding the electrode. Mechanisms of this type of neuroinflammation are still not understood well. Recent experimental and theoretical results point out possible role of the diffusion species in this process. The paper considers a model of anomalo...

*Correspondence: [email protected] School of Mathematical Science, Anhui University, Hefei, P.R. China Abstract In this paper, using the theory of q-fractional calculus, we deal with the q-Mittag-Leffler stability of q-fractional differential systems, and based on it, we analyze the direct Lyapunov method of q-fractional differential systems. Several sufficient criteria are established to guaran...

Fractional differential equations have been discussed in this study. We utilize the Riemann-Liouville fractional calculus to implement it within the generalization of the well known class of differential equations. The Rayleigh differential equation has been generalized of fractional second order. The existence of periodic and positive outcome is established in a new method. The solution is des...

This opening lecture is intended to serve as a propaedeutic for the papers to be presented at this conference whose nonhomogeneous audience includes scientists, mathematicians, engineers and educators. This expository and developmental lecture, a case study of mathematical growth, surveys the origin and development of a mathematical idea from its birth in intellectual curiosity to applications....

We establish the existence and uniqueness of an attractive fractional coupled system. Such a system has applications in biological populations of cells. We confirm that the fractional system under consideration admits a global solution in the Sobolev space. The solution is shown to be unique. The technique is founded on analytic method of the fixed point theory and the fractional differential o...

31 www.erpublication.org  Abstract—In order to overcome the nonlinear characteristics of permanent magnet synchronous motor (PMSM), fractional order (FO) fuzzy proportional integral (PI) controller was designed based on the fractional order calculus and fuzzy technology for PMSM with the nonlinearity and time-varying parameters at work. Fuzzy control rules are designed in the light of running ...