In this paper, the Elzaki transform decomposition method is implemented to solve time-fractional Swift–Hohenberg equations. The presented model related temperature and thermal convection of fluid dynamics, which can also be used explain formation process in liquid surfaces bounded along a horizontally well-conducting boundary. Caputo manner, fractional derivative described. suggested easy imple...

In this article, we present the fuzzy Adomian decomposition method (ADM) and modified Laplace (MLDM) to obtain solutions of fractional Navier–Stokes equations in a tube under derivatives. We have looked at turbulent flow viscous fluid tube, where velocity field is function only one spatial coordinate, addition time being dependent variables. Furthermore, investigate Elzaki transform, (EDM) appl...

This manuscript assesses a semi-analytical method in connection with new hybrid fuzzy integral transform and the Adomian decomposition via notion of fuzziness known as Elzaki (briefly, EADM). Moreover, we use aforesaid strategy to address time-fractional Fornberg–Whitham equation (FWE) under gH-differentiability by employing different initial conditions (IC). Several algebraic aspects Caputo fr...

The Black–Scholes option pricing model is one of the most significant achievements in modern investment science. However, many factors are constantly fluctuating actual financial market pricing, such as risk-free interest rate, stock price, underlying and security price volatility may be inaccurate real world. Therefore, it great practical significance to study fractional fuzzy model. In this p...

This study proposes innovative methods for the time-fractional modified Degasperis–Procesi (mDP) and Camassa–Holm (mCH) models of solitary wave solutions. To formulate concepts homotopy perturbation transform method (HPTM) Elzaki decomposition (ETDM), we mix (ET), (HPM), Adomian (ADM). The Caputo sense is applied to this work. solutions a few numerical examples are shown integer fractional orde...

In this paper, we examined the approximations to time-fractional Kawahara equation and modified equation, which model creation of nonlinear water waves in long wavelength area transmission signals. We implemented two novel techniques, namely homotopy perturbation transform method Elzaki decomposition method. The derivative having fractional-order is taken Caputo sense. Adomian He’s polynomials ...

The present investigation dealing with a hybrid technique coupled new iterative transform method, namely the Elzaki method (IETM), is employed to solve nonlinear fractional Fisher’s model. equation precise mathematical result that arose in population dynamics and genetics, specifically chemistry. Caputo Antagana-Baleanu derivatives sense are used test intricacies of this mechanism numerically. ...

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...