In this paper, we introduce a new type of integral transforms, called the ARA integral
transform that is defined as: G n [g (t)](s)= G (n, s)= s∫ 0∞ tn− 1 e− stg (t) dt, s> 0. We prove …

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 …

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 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 …

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 …

In this paper, Aboodh transform is used for solving linear Volterra integro-differential
equations of second kind. The technique is described and illustrated with some numerical …

The major aim of this paper is the presentation of Aboodh transform of the Atangana–
Baleanu fractional differential operator both in Caputo and Riemann–Liouville sense by …

The main objective of this work is to introduce a novel generalization of double
transformations called the triple Laplace–ARA–Sumudu transform (TLARAST). This hybrid …

In this manuscript, a hybrid method namely q-Homotopy Analysis Aboodh Transform Method
(q-HAATM) has been applied for obtaining the solutions of fractional partial differential …

The study of atmospheric internal waves which occur inside a fluid rather than on the surface
is represented by a mathematical model named the atmospheric internal waves model …