An Efficient Reproducing Kernel Method for Solving Fractional Electro-hydrodynamic Flow Differential Equation

this paper aims to find an approximate numerical solution to the singular nonlinear boundary value problem (BVP) with conformable fractional derivative by using Reproducing kernel method (RKM). The problem contains singularity and strong nonlinear terms; hence, the presented method shows affected and validated results. The (BVP) contains two influential parameters $\mathcal{H}^{2}$ and $\eta$, therefore we examine the problem for different values of these parameters and their effected of the speed of the fluid. Also, the relation of $\mathcal{H}^{2}$ and $\eta$ together with the speed of the fluid for different values of fractional derivatives are given.MSC: 76E25; 46E22; 26A33; 34B16.