The pioneering work in finance by Black, Scholes and Merton during the 1970s led to the
emergence of the Black-Scholes (BS) equation, which offers a concise and transparent …

In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

The price variation of the correlated fractal transmission system is used to deduce the
fractional Black–Scholes model that has an α α-order time fractional derivative. The …

This paper is concerned with the design of a high order numerical approach based on a
uniform mesh for efficient numerical solution of time-fractional Black-Scholes equation …

This paper investigates the pricing of double barrier options when the price change of the
underlying is considered as a fractal transmission system. In this scenario, the option price is …

The variation in the option pricing of the fractal transmission system is modelled by the time
fractional Black–Scholes equation (TFBSE). This paper proposes an efficient local meshless …

In this paper, we present a numerical technique for solving the time-fractional Black-Scholes
(TFBS) equation describing European options. The time-fractional derivative is described by …

In this paper, we present fractional differential transform method (FDTM) and modified
fractional differential transform method (MFDTM) for the solution of time fractional Black …

The mathematical modeling in trade and finance issues is the key purpose in the
computation of the value and considering option during preferences in contract. This paper …

In this study, for the first time, the approximate solution of Black–Scholes option pricing
distributed order time-fractional partial differential equation by means of Legendre and …