Abstract This work introduces a new integral transform for functions of exponential order called “NE transform”. We prove some properties NE -transform. Also, applications the NE- to find solution ordinary linear equation are given. The relationships with well-known transforms characterized by identities. study this transform. Then we compare it few exiting in Laplace family such as Laplace, Su...

This paper presents a new approach for finding analytic solutions to the Belousov–Zhabotinsky system by combining Adomian decomposition method (ADM) and homotopy perturbation (HPM) with Elzaki transform. The ADM HPM are both powerful techniques solving nonlinear differential equations, their combination allows more efficient accurate solution. transform, on other hand, is mathematical tool that...

The approximate solutions of the time fractional advection-dispersion equation are presented in this article. nonlocal nature solute movement and nonuniformity fluid flow velocity process lead to formation a heterogeneous system, which can be modeled using equation, generalizes classical replaces derivative with Caputo derivative. Researchers use variety numerical techniques study such models, ...

The goal of this study is to suggest a new general triple integral transform known as Gamar transform. Next, we compare the current number existing transforms such those by Laplace, Sumudu, Elzaki, Aboodh, and Laplace–Aboodh–Sumudu. We outline its essential properties prove some important results, including linearity property, existence theorem, convolution derivatives properties. Moreover, pro...

Introduction of Elzaki transform and its application is the topic this paper. The definition properties have been mentioned apply on ordinary differential equation. effective tool for engineering to solve some problems such as electrical/electronic, dynamic system analysis, mechanical civil engineering. In paper spicily introduce hinged clamped Beam Problem

We use a new integral transform approach to solve the fractional Harry Dym equation and Rosenau-Hyman in this work. The Elzaki transformation are combined suggested method (ET). To handle two nonlinear problems, we first construct transforms of Caputo derivative (CFD) Atangana-Baleanu (ABFD). ultimate purpose study is find an error analysis that demonstrates our final result converges exact app...