Results 1 to 10 of about 4,806 (143)

Galerkin-finite difference method for fractional parabolic partial differential equations [PDF]

MethodsX
The fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan, Trishna Datta, Md. Shafiqul Islam   +2 more
doaj   +2 more sources

A New Solution to the Fractional Black–Scholes Equation Using the Daftardar-Gejji Method

Mathematics, 2023
The main objective of this study is to determine the existence and uniqueness of solutions to the fractional Black–Scholes equation. The solution to the fractional Black–Scholes equation is expressed as an infinite series of converging Mittag-Leffler ...
Agus Sugandha, Endang Rusyaman, Sukono, Ema Carnia   +3 more
doaj   +1 more source

An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach

Fractal and Fractional, 2022
An option is the right to buy or sell a good at a predetermined price in the future. For customers or financial companies, knowing an option’s pricing is crucial.
Sivaporn Ampun, Panumart Sawangtong, Wannika Sawangtong   +2 more
doaj   +1 more source

The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative

Mathematics, 2021
In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
doaj   +1 more source

Analytical solution of time-fractional N-dimensional Black-Scholes equation using LHPM

Ratio Mathematica, 2023
A famous Black-Scholes differential equation is used for pricing options in financial world which represents financial derivatives more significantly. Option is one of the crucial financial derivatives. Sawangtong P., Trachoo K., Sawangtong W.
Sanjay Ghevariya, CHETANBHAI PATEL
doaj   +1 more source

Application of the Generalized Laplace Homotopy Perturbation Method to the Time-Fractional Black–Scholes Equations Based on the Katugampola Fractional Derivative in Caputo Type

Computation, 2021
In the finance market, the Black–Scholes equation is used to model the price change of the underlying fractal transmission system. Moreover, the fractional differential equations recently are accepted by researchers that fractional differential equations
Sirunya Thanompolkrang, Wannika Sawangtong, Panumart Sawangtong   +2 more
doaj   +1 more source

Option valuation in markets with finite liquidity under fractional CEV assets [PDF]

Mathematics and Modeling in Finance, 2022
‎The aim of this paper is to numerically price the European double barrier option by calculating the governing fractional Black-Scholes equation in illiquid markets‎.
Azadeh Ghasemifard, Seddigheh Banihashemi, Afshin Babaei   +2 more
doaj   +1 more source

Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm

Alexandria Engineering Journal, 2023
Financial derivatives plays a major role in all financial deals these days. Black–Scholes option pricing model gives a risk free analysis for investing in options. In the current work, a method called the Laplace Perturbation Iteration Algorithm is being
Fareeha Sami Khan, Mariam Sultana, Muhammad Khalid, Faheem Zaidi, Kamsing Nonlaopon   +4 more
doaj   +1 more source

A posteriori grid method for a time-fractional Black-Scholes equation

AIMS Mathematics, 2022
In this paper, a posteriori grid method for solving a time-fractional Black-Scholes equation governing European options is studied. The possible singularity of the exact solution complicates the construction of the discretization scheme for the time ...
Zhongdi Cen, Jian Huang , Aimin Xu
doaj   +1 more source

Numerical solution of ψ-Hilfer fractional Black–Scholes equations via space–time spectral collocation method

Alexandria Engineering Journal, 2023
Trivially, the time-fractional Black–Scholes (FBS) equation is utilized to describe the behavior of the option pricing in financial markets. This work is intended as an attempt to introduce the ψ-Hilfer fractional Black–Scholes (ψ-HFBS) equation.
F. Mohammadizadeh, S.G. Georgiev, G. Rozza, E. Tohidi, S. Shateyi   +4 more
doaj   +1 more source