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

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, a new general double integral transform is introduced. We present its essential
properties and proved some useful results such as the double convolution theorem and …

In the current paper, we have generalized the concept of one dimensional Shehu transform
into two dimensional Shehu transform namely, double Shehu transform (DHT). Further, we …

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 …

The goal of this research is to develop a novel analytic technique for obtaining the
approximate and exact solutions of the Caputo time-fractional partial differential equations …

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 paper, we introduce the definition of double Laplace transform in q-calculus by using
the functions of several variables. Certain results on convergence, absolute convergence …

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 …