In this paper, a new method based on the Legendre wavelets expansion together with
operational matrices of fractional integration and derivative of these basis functions is …

This paper presents a computational method for solving a class of system of nonlinear
singular fractional Volterra integro-differential equations. First, existences of a unique …

In this paper, a potentially useful new method based on the Gegenbauer wavelet expansion,
together with operational matrices of fractional integral and block-pulse functions, is …

We firstly generalize a multi-term time fractional diffusion-wave equation to the multi-term
variable-order time fractional diffusion-wave equation (MV-TFD-E) by the concept of variable …

In this paper, we develop an accurate and efficient Chebyshev wavelets method for solution
of partial differential equations with boundary conditions of the telegraph type. In the …

In this paper, the two-dimensional Legendre wavelets are applied for numerical solution of
the fractional Poisson equation with Dirichlet boundary conditions. In this way, a new …

In this paper, we propose the numerical approximation of fractional initial and boundary
value problems using Haar wavelets. In contrast to the Haar wavelet methods available in …

In this paper, a new formula of Caputo fractional-order derivatives of shifted Jacobi
polynomials of any degree in terms of shifted Jacobi polynomials themselves is proved. We …

In this paper, a new operational matrix method based on Haar wavelets is proposed to solve
linear and non-linear differential equations of fractional order. Contrary to wavelet …

In this paper, an efficient and accurate computational method based on the Legendre
wavelets (LWs) together with the Galerkin method is proposed for solving a class of …