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 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...

The series solutions of the random nonlinear partial differential equations have been examined by a hybrid method. are studied both normal and uniform distributions. Two initial-value problems indicated to exemplify influence acquired Also, functions for first second moments approximate in MAPLE software. method is implemented analyze equations. software used find solutions. Besides, drawing fi...

In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve fractional-order coupled Korteweg-de Vries (KdV) equation. Elzaki and New method are combined. The iteration solutions obtained in series form analyze analytical results of equations. To understand procedure some numerical problems presented for result It is also demonstrated that current t...

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.

This comparative study of fractional nonlinear Burger’s equations and their systems has been done using two efficient analytical techniques. The generalized schemes the proposed techniques for suggested problems are obtained in a very sophisticated manner. numerical examples have solved Laplace residual power series method Elzaki transform decomposition method. results compared through graphs t...

This paper considers a new Double Integral transform called Sumudu-Elzaki DSET. The combining of the DSET with semi-analytical method, namely variational iteration method DSETVIM, to arrive numerical solution nonlinear PDEs Fractional Order derivatives. proposed dual property decreases number calculations required, so these two methods leads calculating solution's speed. suggested technique is ...