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 partial differential equations emerge as a prominent research area in recent times
owing to their ability to depict intricate physical phenomena. Discovering travelling wave …

This paper proposes a numerical method for solving fractional relaxation‐oscillation
equations. A relaxation oscillator is a type of oscillator that is based on how a physical …

The aim of this work is to present numerical treatments to a complex order fractional
nonlinear one-dimensional problem of Burgers' equations. A new parameter σ t is presented …

This study is concerned with the numerical solutions of the squeezing flow problem which
corresponds to fourth-order nonlinear equivalent ordinary differential equations with …

This paper discusses the analytical solutions of fractional partial differential equations using
Integral Transform method. The fractional derivatives are considered with reference to …

This manuscript's aim is to form and examine the numerical simulation of Caputo-time
fractional nonlinear Burgers' equation via collocation approach with trigonometric tension B …

This paper is devoted to the implementation of fractional differential transform method
(FDTM) for the evaluation of new approximations for the fractional models of the system of …

In this work, we introduced novel approximate numerical approach, so called “extended
reduced conformable differential transform method (ERC-DTM)” which is the implementation …

In this research article, a novel analytical and numerical solutions of the Caudrey–Dodd–
Gibbon–Sawada–Kotera (CDGDK) equation are established by means of Tanh method and …