Solution of time fractional Black-Scholes European option pricing equation arising in financial market

In this paper, we present fractional differential transform method (FDTM) and modified fractional differential transform method (MFDTM) for the solution of time fractional Black-Scholes European option pricing equation. The method finds the solution without any discretization, transformation, or res...

Full description

Bibliographic Details
Main Authors: Ravi Kanth A.S.V., Aruna K.
Format: Article
Language:English
Published: De Gruyter 2016-12-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2016-0052
Description
Summary:In this paper, we present fractional differential transform method (FDTM) and modified fractional differential transform method (MFDTM) for the solution of time fractional Black-Scholes European option pricing equation. The method finds the solution without any discretization, transformation, or restrictive assumptions with the use of appropriate initial or boundary conditions. The efficiency and exactitude of the proposed methods are tested by means of three examples.
ISSN:2192-8010
2192-8029