This paper studies the time-fractional Korteweg-de Vries (KdV) equations with Caputo-Fabrizio fractional derivatives. The scheme is presented by using a finite difference method in temporal variable and local discontinuous Galerkin (LDG) space. Stability convergence are demonstrated specific choice of numerical fluxes. Finally, efficiency accuracy verified experiments.

In this paper, we study the effect of non-local derivative on Bose-Einstein condensation. Firstly, consider Caputo-Fabrizio fractional order α to derive eigenvalues Schrödinger equation for a free particle in 3D box. Afterwards, condensation an ideal gas with obtained energy spectrum. Interestingly, approach critical temperatures Tc 1 < 2 are greater than standard one. Furthermore, 2D is sho...

In this manuscript, we are interested in the existence result of solution hybrid nonlinear differential equations. involving fractional Caputo Fabrizio derivatives arbitrary order ? ?]0, 1[. By applying Dhage?s fixed point theorem and some analysis techniques, prove our main result. As an application, A non-trivial example is given to demonstrate effectiveness theoretical

This article is related to the fractional-order analysis of one- and two-dimensional nonlinear systems third-order KdV equations coupled Burgers equations, applying modified analytical methods. The proposed problems will be solved with Caputo–Fabrizio fractional derivative operator Yang transform. results we obtained by implementing suggested methods are compared exact solution. convergence met...

In this paper, we propose a high-precision discrete scheme for the time-fractional diffusion equation (TFDE) with Caputo-Fabrizio type. First, special of C-F derivative is used in time direction and compact difference operator space direction. Second, discuss convergence proposed method L 1 ...

The functional effects of medications, such as those that slow down and calm the body, have been investigated for polarized diffusion coefficient based on subsequent increase through magnetism. This study examines generalized Mittag–Lefer kernel-based fractional derivatives in MHD Brinkman-type fluids under bioconvection contain hybrid titanium dioxide (TiO 2 ) silver (Ag) nanoparticles with wa...

We study epidemic Susceptible–Infected–Susceptible (SIS) models in the fractional setting. The novelty is to consider which susceptible and infected populations evolve according different orders. a model based on Caputo derivative, for we establish existence results of solutions. Furthermore, investigate Caputo–Fabrizio operator, provide solutions equilibria. Both can be framed context SIS with...