This paper presents a numerical solution procedure for solving secondorder differential equation of integer and fractional order subject to fuzzy conditions. The procedure is based on the usage of tools of reproducing kernel Hilbert space in which every function satisfies the initial fuzzy conditions in the second-order differential equation. The procedure produces solutions of high accuracy and examples are provided to illustrate the effectiveness of the solution procedure. The proposed procedure is flexible and has the potential to be further employed to solve problems involving other levels of order in fractional calculus subject to fuzzy conditions. © 2017 Pushpa Publishing House, Allahabad, India.