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Fractional Partial Differential Equations associated with L$\hat{e}$vy Stable Process
Version 1
: Received: 27 February 2020 / Approved: 28 February 2020 / Online: 28 February 2020 (13:09:14 CET)
A peer-reviewed article of this Preprint also exists.
Aljedhi, R.A.; Kılıçman, A. Fractional Partial Differential Equations Associated with Le^vy Stable Process. Mathematics 2020, 8, 508. Aljedhi, R.A.; Kılıçman, A. Fractional Partial Differential Equations Associated with Le^vy Stable Process. Mathematics 2020, 8, 508.
Abstract
In this study, we first present a time-fractional L$\hat{e}$vy diffusion equation of the exponential option pricing models of European option pricing and the risk-neutral parameter. Then, we modify a particular L$\hat{e}$vy-time fractional diffusion equation of European-style options. Introduce a more general model from the models based on the L$\hat{e}$vy-time fractional diffusion equation and review some recent findings regarding of the Europe option pricing of risk-neutral free.
Keywords
Price impact; Option pricing; liquidity, L$\hat{e}$vy process, fractional differential equations
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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