Month: July 2025

Applying the Generalized Laplace Residual Power Series Method to the Time-Fractional Multi-Asset Black-Scholes European Option Pricing Model

Applying the Generalized Laplace Residual Power Series Method to the Time-Fractional Multi-Asset Black-Scholes European Option Pricing Model Nitithorn. Sukwong, Wannika Sawangtong, Thanin Sitthiwirattham, Panumart Sawangtong It is well established that the Black-Scholes model plays a foundational role in analyzing financial markets, particularly in the pricing of options. The classical Black-Scholes equation has an explicit analytical …

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Modeling anomalous di usion and volatility in the Australian national electricity market using a space-fractional Black-Scholes framework

Modeling anomalous diffusion and volatility in the Australian national electricity market using a space-fractional Black-Scholes framework Doungporn Wiwatanapataphee, Yong Hong Wu, Wannika Sawangtong, Panumart Sawangtong The electricity market—particularly the Australian National Electricity Market (NEM)—is characterized by extreme volatility, sudden price spikes, and complex nonlinear dynamics. These phenomena are largely driven by supply-demand imbalances, the increasing …

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