Sentence examples for matrices of fractional from inspiring English sources

3, we introduce operational matrices of fractional integration based on fractional orthogonal basis functions.

In this paper, a method for obtaining a kind of operational matrices of fractional integration is proposed.

On the other hand, the operational matrices of fractional calculus, as linear transformations, have been widely concerned.

Our suggested method is based upon the piecewise continuous functions and Legendre polynomials, depending on the operational matrices of fractional integration.

With the help of operational matrices of fractional derivatives for orthogonal polynomials, the Jacobi tau spectral method is also utilized in [30] to solve multi-term space-time fractional partial differential equations.

The differential operational matrices of fractional order of the three-dimensional block-pulse functions are derived from one-dimensional block-pulse functions, which are used to reduce the original problem to solve a system of linear algebra equations.

This paper aims to construct a general formulation for the Jacobi operational matrix of fractional integral operator.

In this paper, we describe the fractional derivative in the Caputo sense and give the second kind Chebyshev wavelet (SCW) operational matrix of fractional integration.

In this approach, a truncated Legendre series together with the Legendre operational matrix of fractional derivatives are used for numerical integration of fractional differential equations.

Here we construct the operational matrix of fractional derivative of order α in the Caputo sense using the linear B-spline functions.

In the 'Laguerre operational matrix of fractional integration' subsection, the Laguerre operational matrix of fractional integration is introduced.