Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus
In this research work, we formulate the phenomena of the financial system in the fractional framework to describe the complex nature of finance. The basic definitions and ideas of the Caputo-Fabrizio fractional operator are listed. We introduce a novel numerical technique for the dynamical behaviour...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/8113760 |
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| _version_ | 1850234555388133376 |
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| author | Zahir Shah Ebenezer Bonyah Ebraheem Alzahrani Rashid Jan Nasser Aedh Alreshidi |
| author_facet | Zahir Shah Ebenezer Bonyah Ebraheem Alzahrani Rashid Jan Nasser Aedh Alreshidi |
| author_sort | Zahir Shah |
| collection | DOAJ |
| description | In this research work, we formulate the phenomena of the financial system in the fractional framework to describe the complex nature of finance. The basic definitions and ideas of the Caputo-Fabrizio fractional operator are listed. We introduce a novel numerical technique for the dynamical behaviour of our fractional model. The oscillatory and chaotic behaviour of the model is studied with the variation of various input parameters on the model. We have shown that there exists strong oscillatory and chaotic behaviour in the system; moreover, we highlighted the impact of fractional-order parameter on the model. The conditions for the local complex behaviour of the system are analyzed with the impact of certain parameters on the macroeconomic. Our findings suggest that the values of initial conditions, fractional order, and input parameters can lessen the chaos of the proposed financial system. |
| format | Article |
| id | doaj-art-0ebe09b59aae49c39aaea0f1ca781678 |
| institution | OA Journals |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0ebe09b59aae49c39aaea0f1ca7816782025-08-20T02:02:37ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8113760Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional CalculusZahir Shah0Ebenezer Bonyah1Ebraheem Alzahrani2Rashid Jan3Nasser Aedh Alreshidi4Department of Mathematical SciencesDepartment of Mathematics EducationDepartment of MathematicsDepartment of MathematicsDepartment of Mathematic College of Science Northern Border UniversityIn this research work, we formulate the phenomena of the financial system in the fractional framework to describe the complex nature of finance. The basic definitions and ideas of the Caputo-Fabrizio fractional operator are listed. We introduce a novel numerical technique for the dynamical behaviour of our fractional model. The oscillatory and chaotic behaviour of the model is studied with the variation of various input parameters on the model. We have shown that there exists strong oscillatory and chaotic behaviour in the system; moreover, we highlighted the impact of fractional-order parameter on the model. The conditions for the local complex behaviour of the system are analyzed with the impact of certain parameters on the macroeconomic. Our findings suggest that the values of initial conditions, fractional order, and input parameters can lessen the chaos of the proposed financial system.http://dx.doi.org/10.1155/2022/8113760 |
| spellingShingle | Zahir Shah Ebenezer Bonyah Ebraheem Alzahrani Rashid Jan Nasser Aedh Alreshidi Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus Complexity |
| title | Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus |
| title_full | Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus |
| title_fullStr | Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus |
| title_full_unstemmed | Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus |
| title_short | Chaotic Phenomena and Oscillations in Dynamical Behaviour of Financial System via Fractional Calculus |
| title_sort | chaotic phenomena and oscillations in dynamical behaviour of financial system via fractional calculus |
| url | http://dx.doi.org/10.1155/2022/8113760 |
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