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.

*Correspondence: [email protected] Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia Abstract In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension is given to both left and right fractional derivatives and integrals. ...

‎in this paper‎, ‎we provide sufficient conditions for the existence of nonnegative solutions of a boundary value problem for a fractional order differential equation‎. ‎by applying kranoselskii`s fixed--point theorem in a cone‎, ‎first we prove the existence of solutions of an auxiliary bvp formulated by truncating the response function‎. ‎then the arzela--ascoli theorem is used to take $c^1$ ...

In this research, we employ a newly developed strategy based on modified version of the Adomian decomposition method (ADM) to solve nonlinear fractional differential equations (FDE) with both and nondifferential variables. FDE have disturbed interest many researchers. This is due development theory applications calculus. track from various areas can be used model fields science engineering such...

In this paper, we study a new operational numerical method for hybrid fuzzy fractional differential equations by using of the hybrid functions under generalized Caputo- type fuzzy fractional derivative. Solving two examples of hybrid fuzzy fractional differential equations illustrate the method.

Analytical solution of thermo diffusion effect on magnetohydrodynamics flow fractionalized Cassonfluid over a vertical plate immersed in porous media is obtained. Moreover, the model problem, additional effects, like chemical reaction, heat source/sink, and thermal radiation are also considered.The solved by three approaches, namely, Atangana-Baleanu, Caputo-Fabrizio, Caputo fractionalderivativ...