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 …

In this paper, a numerical method based on the third kind Chebyshev wavelets is proposed
for solving a class of time-fractional convection diffusion equations with variable coefficients …

A shifted Legendre collocation method in two consecutive steps is developed and analyzed
to numerically solve one-and two-dimensional time fractional Schrödinger equations …

The applications of the diffusion wave model of a time-fractional kind with damping and
reaction terms can occur within classical physics. This quantification of the activity can …

A new higher order Haar wavelet method (HOHWM) has been developed for solving
differential and integro-differential equations. Generalized approach has been proposed for …

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 …

The purpose of the current investigation is to determine numerical solution of time-fractional
diffusion-wave equation with damping for Caputo's fractional derivative of order α (1< α≤ 2) …

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 consider a new fractional function based on Legendre and Laguerre
polynomials for solving a class of linear and nonlinear time-space fractional partial …

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 …