The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed
globally; the disease has become an unprecedented threat to public health worldwide. It is …

The primary aim of this manuscript is to present the approximate analytical solutions of the
time fractional order α (1< α≤ 2) Vibration Equation (VE) of large membranes with the use of …

This current work presents a comparative study of the fractional-order Cahn-Allen (CA)
equation, where the non-integer derivative is taken in the Caputo sense. The Cahn-Allen …

Purpose The purpose of this study is to solve two unique but difficult partial differential
equations: the foam drainage equation and the nonlinear time-fractional fisher's equation …

In applied sciences and engineering, partial differential equations (PDE) of integer and non-
integer order play a crucial role. It can be challenging to determine these equations' exact …

In this paper we will use the residual power series (RPS) method to generate the solution of
the nonlinear time fractional Navier-Stokes equation in two dimensions in the form of a …

Soliton solutions are of utmost importance among traveling wave solutions since they act as
a bridge between mathematics and physics. This paper investigates time fractional form of …

In this paper, the approximate analytic solution of any order space-time fractional differential
equations is constructed by means of semi-analytical method, named as residual power …

In this study, we consider conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera
(CDGSK) equation. Three powerful analytical methods are employed to obtain generalized …

In this study, we use a new approach, known as the Aboodh residual power series method
(ARPSM), in order to obtain the analytical results of the Black–Scholes differential equations …