A new integral transform method for regularized long‐wave (RLW) models having fractional‐
order is presented in this study. Although analytical approaches are challenging to apply to …

In this paper, we present two new generalized Gauss-Seidel iteration methods for solving
absolute value equations Ax−| x|= b, where A is an M-matrix. Furthermore, we demonstrate …

The Newton-type technique is proposed for solving absolute value equations. This new
method is a two-step technique with the generalized Newton technique as a predictor and …

Many problems in the fields of management science, operation research, and engineering
can be solved using absolute value equations (AVEs). Recently, the generalized Gauss …

We use a new integral transform approach to solve the fractional Harry Dym equation and
fractional Rosenau‐Hyman equation in this work. The Elzaki transform and the integral …

The analytical behavior of fractional differential equations is often puzzling and difficult to
predict under uncertainty. It is crucial to develop a robust, extensive, and extremely …

This article suggests two new modified iteration methods called the modified Gauss‐Seidel
(MGS) method and the modified fixed point (MFP) method to solve the absolute value …

The absolute value equations (AVEs) are significant nonlinear and non-differentiable
problems that arise in the optimization community. In this article, we provide two new …

In this paper, we provide two new generalized Gauss‐Seidel (NGGS) iteration methods for
solving absolute value equations Ax−∣ x|= b, where A∈ Rn× n, b∈ Rn, and x∈ Rn are …

The analytical solution of fractional-order regularized long waves in the context of various
operators is presented in this study as a framework for the homotopy perturbation transform …