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 this study, we applied the Laplace residual power series method (LRPSM) to expand the
solution of the nonlinear time-fractional coupled Hirota–Satsuma and KdV equations in the …

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 …

This article offers a condensed analysis of a fractional SEIR model used to track and forecast
influenza spread. In addition, the seasonal evolution of influenza epidemics is predicted …

This research introduces a novel approach that combines the conformable double Laplace–
Sumudu transform (CDLST) and the iterative method to handle nonlinear partial problems …

The main idea of this study is to reduce the number of susceptible to infections so that ill
patients can receive prompt hospitalization. Fractional SEITR was introduced for this …

In this study, we present a new double integral transform called the double formable
transform. Several properties and theorems related to existing conditions, partial derivatives …