Remarks on the Generalized Fractional Laplacian Operator
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Chen, An & Du, Qiang & Li, Changpin & Zhou, Zhi, 2017. "Asymptotically compatible schemes for space-time nonlocal diffusion equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 361-371.
- Rama Cont & Ekaterina Voltchkova, 2005. "A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models," Post-Print halshs-00445645, HAL.
- Hu, Ye & Li, Changpin & Li, Hefeng, 2017. "The finite difference method for Caputo-type parabolic equation with fractional Laplacian: One-dimension case," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 319-326.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Chenkuan Li & Joshua Beaudin, 2020. "On the Generalized Riesz Derivative," Mathematics, MDPI, vol. 8(7), pages 1-22, July.
- Nigus Demelash Melaku & Ali Fares & Ripendra Awal, 2023. "Exploring the Impact of Winter Storm Uri on Power Outage, Air Quality, and Water Systems in Texas, USA," Sustainability, MDPI, vol. 15(5), pages 1-19, February.
- El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2023. "A family of nonlinear Schrodinger equations and their solitons solutions," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Lukas Gonon & Christoph Schwab, 2021. "Deep ReLU network expression rates for option prices in high-dimensional, exponential Lévy models," Finance and Stochastics, Springer, vol. 25(4), pages 615-657, October.
- Song-Ping Zhu & Xin-Jiang He, 2018. "A hybrid computational approach for option pricing," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 1-16, September.
- Ron Tat Lung Chan, 2016. "Adaptive Radial Basis Function Methods for Pricing Options Under Jump-Diffusion Models," Computational Economics, Springer;Society for Computational Economics, vol. 47(4), pages 623-643, April.
- Hao Zhou & Duy-Minh Dang, 2024. "Numerical analysis of American option pricing in a two-asset jump-diffusion model," Papers 2410.04745, arXiv.org, revised Oct 2024.
- Karel in 't Hout & Pieter Lamotte, 2022. "Efficient numerical valuation of European options under the two-asset Kou jump-diffusion model," Papers 2207.10060, arXiv.org, revised May 2023.
- Kyriakos Georgiou & Athanasios N. Yannacopoulos, 2023. "Probability of Default modelling with L\'evy-driven Ornstein-Uhlenbeck processes and applications in credit risk under the IFRS 9," Papers 2309.12384, arXiv.org.
- N. Hilber & N. Reich & C. Schwab & C. Winter, 2009. "Numerical methods for Lévy processes," Finance and Stochastics, Springer, vol. 13(4), pages 471-500, September.
- Moustapha Pemy, 2018. "Explicit Solutions for Optimal Resource Extraction Problems under Regime Switching L\'evy Models," Papers 1806.06105, arXiv.org.
- Erhan Bayraktar & Hao Xing, 2009. "Pricing American options for jump diffusions by iterating optimal stopping problems for diffusions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(3), pages 505-525, December.
- Xu, Guoping & Zheng, Harry, 2010. "Basket options valuation for a local volatility jump-diffusion model with the asymptotic expansion method," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 415-422, December.
- Cl'ement M'enass'e & Peter Tankov, 2015. "Asymptotic indifference pricing in exponential L\'evy models," Papers 1502.03359, arXiv.org, revised Feb 2015.
- Ron Chan & Simon Hubbert, 2014. "Options pricing under the one-dimensional jump-diffusion model using the radial basis function interpolation scheme," Review of Derivatives Research, Springer, vol. 17(2), pages 161-189, July.
- Genin, Adrien & Tankov, Peter, 2020. "Optimal importance sampling for Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 130(1), pages 20-46.
- Bilel Jarraya & Abdelfettah Bouri, 2013.
"A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry,"
International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(4), pages 30-44, October.
- Jarraya, Bilel & Bouri, Abdelfettah, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," MPRA Paper 53534, University Library of Munich, Germany, revised 2013.
- Shirzadi, Mohammad & Rostami, Mohammadreza & Dehghan, Mehdi & Li, Xiaolin, 2023. "American options pricing under regime-switching jump-diffusion models with meshfree finite point method," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
- Hagspiel, Verena & Huisman, Kuno J.M. & Kort, Peter M. & Lavrutich, Maria N. & Nunes, Cláudia & Pimentel, Rita, 2020.
"Technology adoption in a declining market,"
European Journal of Operational Research, Elsevier, vol. 285(1), pages 380-392.
- Hagspiel, V. & Huisman, Kuno & Kort, Peter M. & Lavrutich, Maria & Nunes, Claudia & Pimentel, Rita, 2018. "Technology Adoption in a Declining Market," Other publications TiSEM b039cdad-73d9-4db0-a4f6-e, Tilburg University, School of Economics and Management.
- Hagspiel, V. & Huisman, Kuno & Kort, Peter M. & Lavrutich, Maria & Nunes, Claudia & Pimentel, Rita, 2018. "Technology Adoption in a Declining Market," Discussion Paper 2018-021, Tilburg University, Center for Economic Research.
- Reem Abdullah Aljedhi & Adem Kılıçman, 2020. "Fractional Partial Differential Equations Associated with L ê vy Stable Process," Mathematics, MDPI, vol. 8(4), pages 1-7, April.
- Fouladi, Somayeh & Dahaghin, Mohammad Shafi, 2022. "Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag–Leffler kernel by finite difference and local discontinuous Galerkin methods," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
- Yuanda Chen & Zailei Cheng & Haixu Wang, 2023. "Option Pricing for the Variance Gamma Model: A New Perspective," Papers 2306.10659, arXiv.org.
- Nicola Bruti-Liberati & Eckhard Platen, 2007.
"Approximation of jump diffusions in finance and economics,"
Computational Economics, Springer;Society for Computational Economics, vol. 29(3), pages 283-312, May.
- Nicola Bruti-Liberati & Eckhard Platen, 2006. "Approximation of Jump Diffusions in Finance and Economics," Research Paper Series 176, Quantitative Finance Research Centre, University of Technology, Sydney.
More about this item
Keywords
distribution; fractional Laplacian; Riesz fractional derivative; delta sequence; convolution;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:320-:d:218225. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.