Based on a new definition for derivative and integral of fractional-order, several fractional
masks have been presented for the use of image denoising. In each method, the process …

In this paper, we use the modified auxiliary expansion method to seek some new solutions
of the paraxial nonlinear Schrödinger equation. The solutions have a hyperbolic function …

This work deals with finding new complex solitons to the perturbed nonlinear Schrödinger
model with the help of an analytical method. Using several computation programs, we gain …

This paper is concerned with numerical solution of time fractional stochastic advection-
diffusion type equation where the first order derivative is substituted by a Caputo fractional …

This article deals with the applications of (1/G′)-expansion method which has recently
been presented to the literature. Applying this tool on the generalized (2+ 1)-dimensional …

In this paper, a new computational method is proposed to solve a class of nonlinear
stochastic differential equations (SDEs) driven by fractional Brownian motion (fBm). The …

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 is concerned with a computational approach based on the Chebyshev cardinal
wavelets for a novel class of nonlinear stochastic differential equations characterized by the …

Fractional calculus is used to model various different phenomena in nature today. The aim of
this paper is to propose the shifted Legendre spectral collocation method to solve stochastic …