In this paper, an implicit robust difference method with graded meshes is constructed for the
modified Burgers model with nonlocal dynamic properties. The L1 formula on graded …

In this paper, the new exact solutions for some nonlinear partial differential equations are
obtained within the newly established conformable derivative. We use the first integral …

In this article, we will discuss the applications of the Spectral element method (SEM) and
Finite element Method (FEM) for fractional calculusThe so-called fractional Spectral element …

A finite difference scheme which depends on a new approximation based on an extended
cubic B-spline for the second order derivative is used to calculate the numerical outcomes of …

The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …

In this study, we applied the generalized Kudryashov method to two different conformable
fractional differential equations and one system namely Burgers' equation with conformable …

In this paper, we present the series solutions of the nonlinear time-fractional coupled
Boussinesq-Burger equations (T-FCB-BEs) using Laplace-residual power series (L-RPS) …

An implicit difference scheme with the truncation of order 2− α (0< α< 1) for time and order 2
for space is considered for the one-dimensional time-fractional Burgers equations. The L 1 …

In the present manuscript, Crank Nicolson finite difference method is going to be applied to
get the approximate solutions for the fractional Burgers equation. The fractional derivative …

This work applies a novel analytical technique to the fractional view analysis of coupled
Burgers equations. The proposed problems have been fractionally analyzed in the Caputo …