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

Abstract This paper presents the solution of important types non-linear time-fractional partial differential equations via conformable Elzaki transform Homotopy perturbation method. We apply proposed technique to solve four equations. In addition, we establish results on uniqueness and convergence solution. Finally, numerical for a variety α values are briefly examined. The method performs well...

in this paper, the homotopy perturbation method (hpm) and elzaki transform is employed to obtain the approximate analytical solution of the sine gorden and the klein gorden equations. the nonlinear terms can be handled by the use of homotopy perturbation method. the proposed homotopy perturbation method is applied to reformulate the first and the second order initial value problems which leads ...

In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and Adomian decomposition method. The equation is first transformed into equivalent integral transform. method are then utilized approximate solution of equation. To evaluate effectiveness proposed conduct several numerical experiment...