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Homotopy Analysis Method for Fractional Barrier Option PDE

Fadugba, S. E and Edeki, S.O. (2022) Homotopy Analysis Method for Fractional Barrier Option PDE. In: ICORTAR, 2021, Online.

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Abstract

This paper proposes a fractional numerical study on Time-Fractional Barrier Option Model (T-FBOM) via highly convergence solution series method known as Homotopy Analysis Method (HAM). Furthermore, the pricing formula for T-FBOM was obtained. The performance of the method on some illustrative examples has been considered. The results obtained were compared with some existing approaches. Keywords: Classical barrier option, Caputo sense, fractional order, homotopy anThis paper proposes a fractional numerical study on Time-Fractional Barrier Option Model (T-FBOM) via highly convergence solution series method known as Homotopy Analysis Method (HAM). Furthermore, the pricing formula for T-FBOM was obtained. The performance of the method on some illustrative examples has been considered. The results obtained were compared with some existing approaches. Keywords: Classical barrier option, Caputo sense, fractional order, homotopy analysis method.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Classical barrier option, Caputo sense, fractional order, homotopy analysis method
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 03 Jun 2022 12:16
Last Modified: 03 Jun 2022 12:16
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/15939

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