Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations

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Numerical solution of time-fractional Black–Scholes equation (2016, unknown): “With discovery of the fractional structure of financialmarket, the fractional Black–Scholes PDEs are introduced to extend the financial theory (Andersen andLipton 2012; Jumarie 2008, 2010a; Liang et al. 2010; Wang 2010; Wang et al. 2012).”
Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio (2010, background): “The present paper is the continuation of the Ref [1].”
Solution of the Fractional Black-Scholes Option Pricing Model by Finite Difference Method (2013, methodology): “Jumarie [12, 13] derived the time- and space-fractional Black-Scholes equations and gave optimal fractional Merton’s portfolio.”