An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels
The Black-Scholes equation (BSe) is fascinating in the business world for predicting the performance of financial investment valuation systems. The Caputo fractional derivative (CFD) and Caputo-Fabrizio fractional derivative operators are used in this research to analyze the BSe. The Adomian decompo...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2613133 |
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| author | Saima Rashid Saad Ihsan Butt Zakia Hammouch Ebenezer Bonyah |
| author_facet | Saima Rashid Saad Ihsan Butt Zakia Hammouch Ebenezer Bonyah |
| author_sort | Saima Rashid |
| collection | DOAJ |
| description | The Black-Scholes equation (BSe) is fascinating in the business world for predicting the performance of financial investment valuation systems. The Caputo fractional derivative (CFD) and Caputo-Fabrizio fractional derivative operators are used in this research to analyze the BSe. The Adomian decomposition method (ADM) and the new iterative transform (NIM) approach are combined alongside the Yang transform. In addition, the convergence and uniqueness results for the aforementioned framework have been calculated. The existence and uniqueness results have been established and frequently accompanied innovative aspects of the prospective system in fixed point terminologies. To provide additional insight into such concepts, a variety of illustrations and tabulations are used. Additionally, the provided techniques regulate and modify the obtained analytical results in a really productive fashion, allowing us to modify and regulate the converging domains of the series solution in a pragmatic manner. |
| format | Article |
| id | doaj-art-525b2b8795614933a584aa68e9a68370 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-525b2b8795614933a584aa68e9a683702025-02-03T01:20:36ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2613133An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay KernelsSaima Rashid0Saad Ihsan Butt1Zakia Hammouch2Ebenezer Bonyah3Department of MathematicsDepartment of MathematicsDivision of Applied MathematicsDepartment of Mathematics EducationThe Black-Scholes equation (BSe) is fascinating in the business world for predicting the performance of financial investment valuation systems. The Caputo fractional derivative (CFD) and Caputo-Fabrizio fractional derivative operators are used in this research to analyze the BSe. The Adomian decomposition method (ADM) and the new iterative transform (NIM) approach are combined alongside the Yang transform. In addition, the convergence and uniqueness results for the aforementioned framework have been calculated. The existence and uniqueness results have been established and frequently accompanied innovative aspects of the prospective system in fixed point terminologies. To provide additional insight into such concepts, a variety of illustrations and tabulations are used. Additionally, the provided techniques regulate and modify the obtained analytical results in a really productive fashion, allowing us to modify and regulate the converging domains of the series solution in a pragmatic manner.http://dx.doi.org/10.1155/2022/2613133 |
| spellingShingle | Saima Rashid Saad Ihsan Butt Zakia Hammouch Ebenezer Bonyah An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels Journal of Function Spaces |
| title | An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels |
| title_full | An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels |
| title_fullStr | An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels |
| title_full_unstemmed | An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels |
| title_short | An Efficient Method for Solving Fractional Black-Scholes Model with Index and Exponential Decay Kernels |
| title_sort | efficient method for solving fractional black scholes model with index and exponential decay kernels |
| url | http://dx.doi.org/10.1155/2022/2613133 |
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