In comparison to fractional-order differential equations, integer-order equations generally fail properly explain a variety of phenomena in numerous branches science and engineering. This article implements efficient analytical techniques within the Caputo operator investigate solutions some fractional partial equations. The Adomian decomposition method, homotopy perturbation Elzaki transformat...

A new integral transform method for regularized long-wave (RLW) models having fractional-order is presented in this study. Although analytical approaches are challenging to apply such models, semianalytical or numerical techniques have received much attention the literature. We propose a technique combining transformation, Elzaki (ET), and it equations The RLW describe ion-acoustic waves plasma...

In this work, the novel iterative transformation technique and homotopy perturbation are used to calculate fractional-order gas dynamics equation. technique, iteration method combined with Elzaki transformation. The current methods implemented four examples show efficacy validation of techniques. approximate solutions obtained by given techniques that accurate easy apply other linear nonlinear ...

The present research article is related to the analytical investigation of some fractional-order equal-width equations. homotopy perturbation technique along with Elzaki transformation implemented discuss fractional view analysis For better understanding proposed procedure examples equations are presented. identical behavior derived and actual solutions observed. can be modified study other pro...

In this paper, we introduce a modified method which is constructed by mixing the residual power series and Elzaki transformation. Precisely, provide details of implementing suggested technique to investigate fractional-order nonlinear models. Second, test efficiency validity on Navier-Stokes Then, apply new analyze system Finally, 3-D graphical plots support impact fractional derivative acting ...

This article introduces two well-known computational techniques for solving the time-fractional system of nonlinear equations unsteady flow a polytropic gas. The methods suggested are modified forms variational iteration method and homotopy perturbation by Elzaki transformation. Furthermore, an illustrative scheme is introduced to verify accuracy available techniques. A graphical representation...

s is a time-frequency transform based on the concept of short-time fourier transform and wavelet transform. the main property of this transform that separate it from the discrete short-time fourier transform is variable frequency resolution. but in this transform the change of resolution of high frequencies to low frequencies is very high. so another transform as a modified s transform is intro...