In this paper, we study fuzzy linear conformable differential equations using the generalized fuzzy conformable fractional differentiability concept. We give an explicit representation of q(1)- differentiable and q(2)-differentiable solutions for appropriate differential equations. Finally, we give some examples to illustrate our theoretical results.

<p style='text-indent:20px;'>In this paper, we present a new general system of equations describing the steady motion of atmosphere with uniform density in ellipsoidal coordinates, which is derived from the general governing equations for viscous fluids. We first show that this new system can be reduced to the classic Ekman equations. Secondly, we obtain the explicit solution of the Ekman equations in ellipsoidal coordinates. Thirdly, for the viscosity related to the height, we obtain the solution of the classical problem with zero acceleration at the bottom of Ekman layer. Finally, the uniqueness and dynamical properties of solution are demonstrated.</p>

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