Abstract In this paper, we focus on option pricing models based on time-fractional diffusion with generalized Hilfer-Prabhakar derivative. It is demonstrated how the option is priced for fractional cases of European vanilla option pricing models. Series representations of the pricing formulas and the risk-neutral parameter under the time-fractional diffusion are also derived.

中文翻译：

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Hilfer-Prabhakar算子在期权定价金融模型中的应用

摘要 在本文中，我们关注基于时间分数扩散和广义 Hilfer-Prabhakar 导数的期权定价模型。演示了如何为欧洲普通期权定价模型的小数案例定价。还导出了时间分数扩散下定价公式和风险中性参数的级数表示。