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It has been discovered that fractal-fractional differential operators with constant orders make good mathematical models for more challenging problems observed in nature. This idea has lately been expanded to include variable orders, which seem to be better suited for anomalous processes than their fractional counterparts were. In order to establish a numerical system for resolving such issues, we have employed two straightforward methods in this study. We provided a thorough theory on the existence and uniqueness of exact solution for each case. With several examples, we described the consistency and stability requirements in each situation.