<p>Following the ongoing debate on fractional calculus, there is a lack of knowledge regarding the impact of space-dependent sources on the conformable heat equation, which enhances modeling accuracy and solution techniques for radially symmetric thermal systems. The study of the conformable heat equation is essential for understanding heat transfer in materials with non-integer dimensions. Space-dependent sources in the conformable heat equation on a radially symmetric plate remains an open question with little or no information on the insight into its fractional calculus. This paper addresses the inverse problem of identifying a space-dependent source for an axis-symmetric conformable heat equation. The analytical solution was derived based on the method of separating variables. Subsequently, the ill-posedness of the inverse source problem was rigorously proved, and a stability estimate is provided herein. To address the inherent challenges of this problem, a quasi-reversibility method is employed for regularization. Hölder-type error estimates are rigorously derived under both a priori and a posteriori parameter selection strategies, thereby providing a robust theoretical framework for the analysis. The efficacy of the proposed method is demonstrated through three numerical examples. All numerical results were obtained using the posteriori regularization parameter choice rule, which operates independently of the priori bound conditions on the exact solution. These experiments highlight the effectiveness and stability of the scheme for both smooth and non-smooth solutions, underscoring its robustness in practical applications.</p>