A relatively new and efficient approach based on a new iterative method and the Aboodh
transform called the Aboodh transform iterative method is proposed to solve space‐time …

The findings indicate an application of a new method of expansion of the forms (Z′/Z) and
(1/Z) to determine the solutions for wave of the solitary nature in the (2+ 1)‐dimensional …

The study of an entirely new class of differential equations known as delay differential
equations or difference differential equations has resulted from the development and …

In this article, we investigate the solutions for a class of initial boundary value problems for
nonlinear one‐dimensional wave equations using a fixed point method. The findings …

In this article, the solutions of Bessel's differential equations (DEs) by variable change
method are formulated. To do so, we have considered the first and second kind of Bessel's …

The Laplace residual power series (LRPSM) technique is used in the current work to find the
accurate solutions of the fractional partial differential equations of the Airy kind. Applying the …

This study investigates solutions for the time-fractional coupled system of the shallow-water
equations. The shallow-water equations are employed for the purpose of elucidating the …

We study the invariance properties of the fractional time version of the nonlinear class of
equations u α t− g (u) ux− f (u) uxxx= 0, where 0< α< 1 using some recently developed …

In this article, a special expansion method is implemented in solving nonlinear integro-
partial differential equations of (2+ 1)-dimensional using a special expansion method of …

The aim of this work is to find exact solutions of the non-linear partial differential equations
describing the motion of Newtonian fluids at the surface. The reduced differential transform …