In this paper, the exact solutions of certain non-linear differential equations defined on a fractal subset of the real line are presented. Particular attention is paid to the Riccati-type fractal differential equation, for which a connection with the Schrödinger equation is also provided. To further substantiate the theoretical findings, numerical validations are included, comparing the exact analytical solutions with results obtained through a generalized Fractal Euler Method.
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Bongiorno et al. (2026) studied this question.
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