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Generalized heat diffusion equations with variable coefficients and their fractalization from the Black-Scholes equation 被引量:1

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摘要 In this study,we prove that modified diffusion equations,including the generalized Burgers'equation with variable coefficients,can be derived from the Black-Scholes equation with a time-dependent parameter based on the propagator method known in quantum and statistical physics.The extension for the case of a local fractal derivative is also addressed and analyzed.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第5期10-17,共8页 理论物理通讯(英文版)
基金 The authors would like to thank the anonymous referees for their useful comments and valuable suggestions.
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