The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

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 …

In this manuscript, a new expansion technique namely residual power series method is used
for finding the analytical solution of the Fractional Black–Scholes equation with an initial …

In this study, an applicable and effective method, which is based on a least‐squares residual
power series method (LSRPSM), is proposed to solve the time‐fractional differential …

In the present article, we have developed the new exact and approximate solutions of a
nonlinear evolution equation that appear in mathematical physics, specifically Cahn–Allen …

In this paper, the new representations of optical wave solutions to fiber Bragg gratings with
cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index …

Variational principle is important since it can not only reveal the possible solution structures
of the equation but also provide the conservation laws in an energy form. Unfortunately, not …

In this paper, we compile the fractional power series method and the Laplace transform to
design a new algorithm for solving the fractional Volterra integro-differential equation. For …

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 …

The study of the time‐fractional vibration equation (VE) of large membranes is vital due to its
widespread applications. Various researchers have investigated the titled problem in which …