Abstract
In the Scale Relativity Theory, wave-corpuscle duality is analyzed both in the Schrödinger and in the Madelung multifractal scenarios. Therefore, in the Schrödinger scenario, this duality implies the functionality of a multifractal sinus – Gordon differential equation based on 2×2 matrices of real variable elements, while in the Madelung scenario, the same duality implies the solving of the multifractal hydrodynamic equation system.