We use a new integral transform approach to solve the fractional Harry Dym equation and Rosenau-Hyman in this work. The Elzaki transformation are combined suggested method (ET). To handle two nonlinear problems, we first construct transforms of Caputo derivative (CFD) Atangana-Baleanu (ABFD). ultimate purpose study is find an error analysis that demonstrates our final result converges exact app...

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...

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...

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...

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. ...

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...

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...

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 ...

. Pantai merupakan kawasan yang sering dimanfaatkan untuk berbagai kegiatan manusia, namun seringkali upaya pemanfaatan tersebut menyebabkan permasalahan pantai sehingga garis berubah. Salah satu cara dapat digunakan mengetahui perubahan yaitu dengan membuat model matematika. Model berbentuk persamaan diferensial parsial diselesaikan secara analitik menggunakan metode transformasi Elazki. Metod...