This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is
successfully implemented in combination with the iterative method to obtain the exact …

In this article, we apply the double ARA–Sumudu transformation (DARA-ST) to the nonlocal
fractional Caputo derivative operator. We achieve interesting results and implement them to …

The main purpose of this work is to present a new double transform called the double ARA-
Sumudu transform (DARA-ST). The application of the new double transform to some basic …

In this paper, we introduce a new integral transform called the Formable integral transform,
which is a new efficient technique for solving ordinary and partial differential equations. We …

This study focuses on the solution of the rotationally symmetric Rossler attractor by using the
adaptive predictor–corrector algorithm (Apc-ABM-method) and the fractional Laplace …

This paper describes our construction of a new double transform, which we call the double
ARA transform (DARAT). Our novel double-integral transform can be used to solve partial …

In order to get analytical series solutions of partial differential equations while taking certain
conditions into consideration, this paper presents the new procedure of using the new …

The main goal of this research is to present a new approach to double transforms called the
double Laplace–ARA transform (DL-ARAT). This new double transform is a novel …

In this research, we introduce the basic properties of the single and double general
transforms. New interesting results related to fractional operators in the sense of Caputo …

The main purpose of this study is to investigate solutions of some integral equations of
different classes using a new scheme. This research introduces and implements the new …