In this paper a new efficient numerical scheme for the stability analysis of linear systems with
periodic parameters is suggested. The approach is based on the idea that the state vector …

In this work, two families of shifted-Legendre polynomials consist of fractional and non-
fractional basis functions are utilized to obtain approximate solutions of the fractional-order …

In the present study, a collocation approach based on variouspolynomial basis functions for
solving the nonlinear Riccati differentialequation of fractional-order is presented. Indeed, to …

Three types of orthogonal polynomials (Chebyshev, Chelyshkov, and Legendre) are
employed as basis functions in a collocation scheme to solve a nonlinear cubic initial value …

Изложены современные прикладные методы исследования стохастических систем,
ориентированные на компьютерную реализацию; они основаны на проекционной …

Orthogonal Functions may be divided into two classes. The class of continuous systems and
the discontinuous class of piecewise constant systems. Problems arise because continuous …

In this work, an approximate procedure for computing the numerical solution of some
classes of fractional differential equations (FDEs) based on Hermit polynomials has been …

In the present work, the generalized Chebyshev polynomials are used as basis functions in
a collocation scheme to solve a class of fractional differential equations along with boundary …

RECENT years have seen a rising interest in launching unmanned spacecraft into libration-
point orbits for scientific missions. Past missions such as ISEE-3, SOHO, and Genesis …

A new Taylor series approach is presented which reduces the problem of determining the
state vector coefficient matrix X for time-invariant systems to an expression involving …