We introduce stable multi-domain spectral penalty methods suitable for solving fractional partial differential equations with fractional derivatives of any order. The fractional derivative is approximated in each sub domain using orthogonal polynomials and stability of the scheme is achieved through weakly imposed boundary and interface conditions by using a penalty term. We discuss accuracy an...

In this paper, the problem under consideration is multiobjective non-linear fractional programming problem involving semilocally convex and related functions. We have discussed the interrelation between the solution sets involving properly efficient solutions of multiobjective fractional programming and corresponding scalar fractional programming problem. Necessary and sufficient optimality...

‎in this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (pmsm) system. the necessary condition for the existence of chaos in the fractional-order pmsm system is deduced and an active controller is developed based on the stability theory for fractional systems. the presented control scheme  is simple and flexible, and it is suitable both fo...

In this paper, a sliding mode control law is designed for stabilization of specific class of linear systems of fractional order despite of multi delays in the state system. A fractional order sliding surface is proposed, and using the variable structure control theorem, control law is introduced. A numerical simulation is given to show the effectiveness of the proposed design approach.

Abstract: The aim of this paper is to develop a subspace method for state-space identification of continuous-time systems using fractional commensurate models. As compared to the classical state-space representation, the commensurate differentiation order must be estimated besides the state-space matrices. The latter are estimated with conventional subspace-based techniques using QR and singula...

The leader–follower consensus of a class variable-order fractional (VOF) uncertain linear multi-agent systems is studied in this paper. Firstly, new general lemma proposed to find Lyapunov candidate functions for the stability VOF systems. Secondly, according and theorem systems, by using singular value decomposition matrices some related lemmas, sufficient condition obtain given form matrix in...