Itô Semimartingale; Fractional Brownian Motion - Articles

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 3,319 Downloads 6,032 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 3,361 Downloads 4,653 Views Citations
This article belongs to the Special Issue on Fractional Calculus
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 673 Downloads 1,368 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 1,049 Downloads 2,188 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 230 Downloads 902 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 885 Downloads 2,004 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 4,939 Downloads 8,285 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 3,634 Downloads 6,659 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 5,729 Downloads 9,644 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 3,008 Downloads 4,262 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 336 Downloads 1,449 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 29 Downloads 243 Views Citations
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 1,613 Downloads 3,239 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 4,937 Downloads 9,997 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 3,340 Downloads 4,617 Views Citations
Macroscopic anisotropic Brownian motion is related to the directional movement of a “Universe field” (Articles)

Jiapei Dai

Natural Science Vol.6 No.2, February 19, 2014

DOI: 10.4236/ns.2014.62009 5,124 Downloads 7,023 Views Citations
Dirichlet Brownian Motions (Articles)

Hafedh Faires

Open Journal of Statistics Vol.4 No.11, December 29, 2014

DOI: 10.4236/ojs.2014.411085 2,787 Downloads 3,688 Views Citations
A Mathematical Model Reveals That Both Randomness and Periodicity Are Essential for Sustainable Fluctuations in Stock Prices (Articles)

Motohisa Osaka

Applied Mathematics Vol.10 No.6, June 17, 2019

DOI: 10.4236/am.2019.106028 861 Downloads 3,468 Views Citations
A Simple Model for the Calculation of Diffusion Coefficient in a Periodic Potential (Articles)

Chunhui Zhang, Zhanwu Bai

Journal of Modern Physics Vol.12 No.2, January 21, 2021

DOI: 10.4236/jmp.2021.122009 588 Downloads 1,887 Views Citations
Asset Pricing and Simulation Analysis Based on the New Mixture Gaussian Processes (Articles)

Bo Peng

Journal of Applied Mathematics and Physics Vol.11 No.8, August 24, 2023

DOI: 10.4236/jamp.2023.118153 181 Downloads 727 Views Citations

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