this paper presents an operational formulation of the tau method based upon orthogonal polynomials by using a reduced set of matrix operations for the numerical solution of nonlinear multi-order fractional differential equations(fdes). the main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of non-linear algebraic equations....

In this paper we propose an efficient numerical technique for solving fractional initial value problems. It is based on the Bernstein polynomials. We derive an explicit form for the Bernstein operational matrix of fractional order integration. Numerical results are presented. In order to show the efficiency of the presented method, we compare our results with some operational matrix techniques.

This paper addresses the problem of stability analysis for linear systems with interval timevarying delay. A general form of the delay-fractioning approach is proposed, which not only takes advantage of all possible information on the delay's lower bound, but also exploits further information between the delay's upper and lower bounds. A new Lyapunov-Krasovskii functional (LKF) is constructed a...