In this article, we find the solution of time‐fractional Belousov–Zhabotinskii reaction by
implementing two well‐known analytical techniques. The proposed methods are the …

The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

In this paper, we studied the Drinfel'd–Sokolov–Wilson equation (DSWE) and Boiti Leon
Pempinelli equation (BLPE) in the conformable sense. The sine–cosine method is utilized to …

Fractional differential equations have recently been applied in various area of engineering,
science, finance, applied mathematics, bio-engineering and others. However, many …

In this paper, we use the fractional complex transform and the (G'/G)-expansion method to
study the nonlinear fractional differential equations and find the exact solutions. The …

We investigate through the ansatz and auxiliary equation methods novel types of solitary
wave solutions for (2+ 1)-D coupled nonlinear electrical transmission lattice with wave …

This paper deals with the numerical solution of classes of fractional convection–diffusion
equations with variable coefficients. The fractional derivatives are described based on the …

Fractional differentials provide more accurate models of systems under consideration. In this
paper, approximation techniques based on the shifted Legendre-tau idea are presented to …

In this paper, a hybrid method called variational iteration transform method has been
implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes …

Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …