The current article studied a nonlinear transmission of the nerve impulse model, Fitzhugh–Nagumo (FN) in conformable fractional form with an efficient analytical approach based on combination Sumudu transform and Adomian decomposition method. Convergence analysis error were also carried out Banach fixed point theory. We provided some examples to support our results. results obtained revealed th...

The key objective of the current work is to examine behavior nonlinear fractional Riccati differential equation associated with Caputo–Prabhakar derivative. An efficient computational scheme, that is, a mixture homotopy analysis technique and sumudu transform, used solve equation. convergence uniqueness for solution implemented shown. In addition, numerical consequences are demonstrated in form...

In this article, we investigate the solution of fractional multidimensional Navier–Stokes equation based on Caputo derivative operator. The behavior regarding system using Sumudu transform approach is discussed analytically and further graphically.

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 ...

In the present paper, series solutions and approximate of time–space fractional differential equations are obtained using two different analytical methods. One is homotopy perturbation Sumudu transform method (HPSTM), another variational iteration Laplace (VILTM). It observed that very close to exact solutions. The useful significant analyze many phenomena, have not been reported in previous li...