In this paper a review on harmonic wavelets and their fractional generalization, within the
local fractional calculus, will be discussed. The main properties of harmonic wavelets and …

The quantitative study of many physical problems ultimately boils down to solving various
partial differential equations (PDEs). Wavelet analysis, known as the “mathematical …

In this article, we introduce a numerical procedure to solve time‐fractional stochastic sine‐
Gordon equation. The suggested technique is based on finite difference method and radial …

In the current paper, we develop a new method based on the finite difference formulation
and meshless method to solve 2D time fractional stochastic Tricomi‐type equation with …

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 …

In the current work, we consider the nonlinear one‐dimensional stochastic Sine‐Gordon
equation with appropriate initial and boundary conditions. The main goal of this work is …

In this paper, an attractive idea using moving least squares (MLS) and spectral collocation
method is extended to estimate the solution of nonlinear stochastic Volterra integro …

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 …

Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

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 …