Sturm’s Theorems for Fractal Differential Equations

In this paper, we investigate the spectral properties of the fractal Sturm’s problem by employing the fractal derivative. We establish and prove the fractal analogues of Sturm’s separation and Sturm’s comparison theorems. Furthermore, the self‐adjointness of the corresponding fractal differential operator is demonstrated. Finally, we present a numerical example to verify the efficiency of the fractal–theoretical results obtained.