The fundamental purpose of this paper is to propose a new Laplace-type integral transform (NL-TIT) for solving steady heat-transfer problems. proposed generalization the Sumudu, and Laplace transforms its visualization more comfortable than Sumudu transform, natural Elzaki transform. suggested used solve problems, results are compared with existing techniques.

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solvepartial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopyperturbation method in order to reformulate initial value problem. Some illustrative examples aregiven in ord...

In this article, the new iterative transform method is applied to evaluate time-fractional Cahn–Allen model solution. technique, Elzaki transformation a mixture of iteration technique. Two problems are studied demonstrate and confirm accuracy proposed The current technique’s mathematical analysis showed that simple understand reliable. These solutions indicate technique advantageous apply in sc...

Conformable space-time fractional linear telegraph equations are examined using a new method known as conformable Elzaki decomposition method. The suggested combines the Adomian with transform. It is found that numerical simulations confirm effectiveness and reliability of proposed

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...

Differential equations are the used in engineering, science and physics. The differential which have linear nonlinear equations. There many ways to solve problems. Transformation is a way find solutions such as Laplace transform, Elzaki transform Sumudu etc. In this research, Sadik applied equation use homotopy perturbation also present examples illustrate preciseness of method.