In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

The accuracy issues of Haar wavelet method are studied. The order of convergence as well
as error bound of the Haar wavelet method is derived for general n th order ODE. The …

In this paper, an efficient and accurate computational method based on the Legendre
wavelets (LWs) is proposed for solving a class of fractional optimal control problems …

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 …

The key purpose of this article is to introduce a numerical algorithm for the solution of the
fractional vibration equation (FVE). The numerical algorithm is based on the applications of …

Current study contains adaption of Haar wavelet discretization method (HWDM) for FG
beams and its accuracy estimates. The convergence analysis is performed for differential …

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, an efficient and accurate computational method based on the Legendre
wavelets (LWs) is proposed for solving the time fractional diffusion-wave equation (FDWE) …

In this paper, a new computational method based on the Legendre wavelets (LWs) is
proposed for solving a class of variable‐order fractional optimal control problems (V …

This paper presents a method for the approximate solution of the time-fractional nonlinear
sine-Gordon and the Klein-Gordon models described in Caputo sense and with the order 1< …