Review of the Fractional Black-Scholes Equations and Their Solution Techniques

H Zhang, M Zhang, F Liu, M Shen - Fractal and Fractional, 2024 - mdpi.com
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 …

Simulating and Pricing CAT Bonds Using the Spectral Method Based on Chebyshev Basis

YE Aghdam, A Neisy, A Adl - Computational Economics, 2024 - Springer
The intensity, hardness, and extent of catastrophic accidents in recent decades have led
insurance companies to seek resources to raise the capital to deal with the caused damage …

A Compact Difference Scheme for Mixed‐Type Time‐Fractional Black‐Scholes Equation in European Option Pricing

J Wang, X Jiang, X Yang… - Mathematical Methods in …, 2025 - Wiley Online Library
ABSTRACT The time‐fractional Black‐Scholes equation (TFBSE) is an important model in
financial markets, widely used for estimating the prices of European options under …

EDITORIAL SPECIAL ISSUE: PART IV-III-II-I SERIES: FRACTALS-FRACTIONAL AI-BASED ANALYSES AND APPLICATIONS TO COMPLEX SYSTEMS

Y Karaca, D Baleanu, M Moonis, Y Zhang, O Gervasi - Fractals, 2023 - World Scientific
Complex systems, as interwoven miscellaneous interacting entities that emerge and evolve
through self-organization in a myriad of spiraling contexts, exhibit subtleties on global scale …