An operational matrix of integration based on Haar wavelets is established, and a procedure
for applying the matrix to analyse lumped and distributed-parameters dynamic systems is …

Рассмотрены преобразования Фурье, Уолша, Хаара и родственные им
преобразования сигналов и их применение в разных областях науки и техники …

The Haar wavelets operational matrix of integration P is derived, which is similar to those
previously derived for other types of orthogonal functions such as Walsh, block-pulse …

A numerical scheme, based on the Haar wavelet operational matrices of integration for
solving linear two-point and multi-point boundary value problems for fractional differential …

Fractional calculus is an extension of derivatives and integrals to non-integer orders, and a
partial differential equation involving the fractional calculus operators is called the fractional …

In this review paper, approximation methods for the free final time of fractional optimal
control problems (FOCPs) are displayed. The considered problems mainly include the …

An examination is given to compare the fast capabilities of operational matrices of
integration formed by various orthogonal functions. It is found that the Haar wavelet …

In the present paper, we apply the truncated Bessel series approximation by using
collocation scheme, for solving linear and nonlinear fractional optimal control problems …

This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

Fourier series direct method for variational problems Page 1 INT. 1. CONTROL, 1988, VOL. 48,
NO. 3, 887-895 Fourier series direct method for variational problems A direct method for solving …