Long Memory; Fractional Brownian Motion; Tanaka Formula; Nonlinearity - Articles

Geometric Fractional Brownian Motion Perturbed by Fractional Ornstein-Uhlenbeck Process and Application on KLCI Option Pricing (Articles)

Mohammed Alhagyan, Masnita Misiran, Zurni Omar

Open Access Library Journal Vol.3 No.8, August 19, 2016

DOI: 10.4236/oalib.1102863 1,636 Downloads 3,336 Views Citations
Is the Driving Force of a Continuous Process a Brownian Motion or Fractional Brownian Motion? (Articles)

Xinbing Kong, Bingyi Jing, Cuixia Li

Journal of Mathematical Finance Vol.3 No.4, November 15, 2013

DOI: 10.4236/jmf.2013.34048 3,358 Downloads 6,166 Views Citations
Backward Stochastic Differential Equations Driven by Fractional Brownian Motion: Theory and Applications (Articles)

Bou Diop

Journal of Applied Mathematics and Physics Vol.13 No.11, November 11, 2025

DOI: 10.4236/jamp.2025.1311212 39 Downloads 324 Views Citations
Strong Local Non-Determinism of Sub-Fractional Brownian Motion (Articles)

Nana Luan

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613194 3,421 Downloads 4,816 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions (Articles)

Clement Ampadu

Journal of Quantum Information Science Vol.2 No.2, June 22, 2012

DOI: 10.4236/jqis.2012.22008 4,176 Downloads 8,283 Views Citations
Application of Multifractional Brownian Motion to Modeling Volatility and Risk in Financial Markets (Articles)

Bou Diop

Journal of Applied Mathematics and Physics Vol.13 No.11, November 17, 2025

DOI: 10.4236/jamp.2025.1311216 57 Downloads 421 Views Citations
One Dimensional Random Motion on Segment with Reflecting Edges and Dependent Increments (Articles)

Gurami Tsitsiashvili

Journal of Applied Mathematics and Physics Vol.6 No.3, March 15, 2018

DOI: 10.4236/jamp.2018.63045 699 Downloads 1,466 Views Citations
Mixed Fractional Merton Model to Evaluate European Options with Transaction Costs (Articles)

Foad Shokrollahi

Journal of Mathematical Finance Vol.8 No.4, November 7, 2018

DOI: 10.4236/jmf.2018.84040 1,078 Downloads 2,311 Views Citations
Perpetual American Call Option under Fractional Brownian Motion Model (Articles)

Atsuo Suzuki

Journal of Mathematical Finance Vol.13 No.2, May 31, 2023

DOI: 10.4236/jmf.2023.132014 248 Downloads 1,012 Views Citations
This article belongs to the Special Issue on Pricing Strategy and Theory
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm (Articles)

Jingqi Han, Litan Yan

Journal of Applied Mathematics and Physics Vol.6 No.4, April 27, 2018

DOI: 10.4236/jamp.2018.64078 911 Downloads 2,123 Views Citations
From Dynamic Linear Evaluation Rule to Dynamic CAPM in a Fractional Brownian Motion Environment (Articles)

Qing Zhou, Chao Li

Journal of Mathematical Finance Vol.2 No.4, November 23, 2012

DOI: 10.4236/jmf.2012.24034 4,970 Downloads 8,399 Views Citations
Simulation of a Daily Precipitation Time Series Using a Stochastic Model with Filtering (Articles)

Chieko Gomi, Yasuhisa Kuzuha

Open Journal of Modern Hydrology Vol.3 No.4, October 23, 2013

DOI: 10.4236/ojmh.2013.34025 3,663 Downloads 6,767 Views Citations
Autoregressive Fractionally Integrated Moving Average-Generalized Autoregressive Conditional Heteroskedasticity Model with Level Shift Intervention (Articles)

Lawrence Dhliwayo, Florance Matarise, Charles Chimedza

Open Journal of Statistics Vol.10 No.2, April 29, 2020

DOI: 10.4236/ojs.2020.102023 1,746 Downloads 3,573 Views Citations
Evaluation of Geometric Asian Power Options under Fractional Brownian Motion (Articles)

Zhijuan Mao, Zhian Liang

Journal of Mathematical Finance Vol.4 No.1, December 25, 2013

DOI: 10.4236/jmf.2014.41001 5,770 Downloads 9,754 Views Citations
This article belongs to the Special Issue on Option Pricing Research
Attenuated Model of Pricing Credit Default Swap under the Fractional Brownian Motion Environment (Articles)

Wenjing Gu, Yinglin Liu, Ruili Hao

Journal of Mathematical Finance Vol.6 No.2, March 9, 2016

DOI: 10.4236/jmf.2016.62021 3,030 Downloads 4,362 Views Citations
Fractional Stochastic Volatility Pricing of European Option Based on Self-Adaptive Differential Evolution (Articles)

Yue Hu, Hongling Dong, Le Fu, Jiayang Zhai

Journal of Mathematical Finance Vol.12 No.3, August 25, 2022

DOI: 10.4236/jmf.2022.123029 360 Downloads 1,565 Views Citations
Modeling Seasonal Fractionally Integrated Autoregressive Moving Average-Generalized Autoregressive Conditional Heteroscedasticity Model with Seasonal Level Shift Intervention (Articles)

Lawrence Dhliwayo, Florance Matarise, Charles Chimedza

Open Journal of Statistics Vol.10 No.5, October 27, 2020

DOI: 10.4236/ojs.2020.105047 908 Downloads 2,665 Views Citations
Camera Independent Motion Deblurring in Videos Using Machine Learning (Articles)

Tyler Welander, Ronald Marsh, Bryce Gruber

Journal of Intelligent Learning Systems and Applications Vol.15 No.4, November 6, 2023

DOI: 10.4236/jilsa.2023.154007 256 Downloads 1,229 Views Citations
Brownian Motion in Parabolic Space (Articles)

Takahisa Okino

Journal of Modern Physics Vol.3 No.3, March 28, 2012

DOI: 10.4236/jmp.2012.33034 4,965 Downloads 10,117 Views Citations
A Dynamic Cournot Model with Brownian Motion (Articles)

Hyungho Youn, Victor J. Tremblay

Theoretical Economics Letters Vol.5 No.1, February 3, 2015

DOI: 10.4236/tel.2015.51009 3,386 Downloads 4,761 Views Citations

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