Results 71 to 80 of about 2,314 (173)
Series form solutions of time–space fractional Black–Scholes model via extended He-Aboodh algorithm
Alexandria Engineering JournalThe objective of the current study is analyze linear and nonlinear time–space fractional Black–Scholes models via modified homotopy perturbation method (m-HPM). In current investigation, memory effects in financial markets are explored through fractional
Mubashir Qayyum +5 more
doaj +1 more source
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.The purpose of this work is to solve the fractional‐order model of chaotic virotherapy dynamics by executing a neural network scheme. The chaotic virotherapy dynamics is divided into four categories: uninfected tumor cells, infected tumor cells, immune cells, and virus‐free cells.
Zulqurnain Sabir +5 more
wiley +1 more source
A Framework for Derivative Pricing in the Fractional Black-Scholes Market [PDF]
The aim of this paper is to develop a framework for evaluating derivatives if the underlying of the derivative contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5.
Ciprian Necula
core
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam +3 more
wiley +1 more source
Solving fractional black-scholes eruopean option pricing equations by aboodh transform decomposition method [PDF]
, 2020 In this paper we apply the Aboodh transform decomposition method to solve fractional Black- Scholes equation. This method is a mixture between Aboodh transform and Adomian decomposition method, we use this method to solve Black -Scholes equation with ...
Ekeland I., Alfaqeih S., Özış T.
core
An Efficient Numerical Model for the Black–Scholes Equations
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, a novel numerical model for the Black–Scholes equations is developed. To address some potential issues that may arise when solving this equation using the conventional model, the original Black–Scholes equation is reformulated as a convection–diffusion equation. The Crank–Nicolson scheme is utilized to discretize the diffusion and source
Yan Zhou, Yunxing Zhang, Yufeng Xu
wiley +1 more source
"The Contributions of Professors Fischer Black, Robert Merton, and Myron Scholes to the Financial Services Industry" [PDF]
This paper is written as a tribute to Professors Robert Merton and Myron Scholes, winners of the 1997 Nobel Prize in economics, as well as to their collaborator, the late Professor Fischer Black.
Terry Marsh, Takao Kobayashi
core
Option Pricing in a Fractional Brownian Motion Environment [PDF]
The purpose of this paper is to obtain a fractional Black-Scholes formula for the price of an option for every t in [0,T], a fractional Black-Scholes equation and a risk-neutral valuation theorem if the underlying is driven by a fractional Brownian ...
Cipian Necula
core
Barrier Options and a Reflection Principle of the Fractional Brownian Motion [PDF]
The purpose of this paper is to obtain the price of the barrier options in a fractional Brownian motion environment in the special case of zero interest rate. As a consequence we derive a reflection principle for the fractional Brownian motion.fractional
Cipian Necula
core
Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform [PDF]
, 2013 The homotopy perturbation method, Sumudu transform, and He’s polynomials are combined to obtain the solution of fractional Black-Scholes equation. The fractional derivative is considered in Caputo sense.
Elbeleze, Asma Ali +2 more
core +1 more source