Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator
The present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the type rural and commercial. The model with fract...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016819301802 |
| _version_ | 1818734445970063360 |
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| author | Abdon Atangana Muhammad Altaf Khan Fatmawati |
| author_facet | Abdon Atangana Muhammad Altaf Khan Fatmawati |
| author_sort | Abdon Atangana |
| collection | DOAJ |
| description | The present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the type rural and commercial. The model with fractal-fractional operator known as fractal-fractional Caputo-Fabrizio derivative is formulated and show their analysis. We give a novel method to solve the model numerically and present the graphical results. We consider different values of the fractal and fractional order parameters and compare the results with integer order fitting for real data. We show keeping fractal order fix and varying fractional order, keeping fractional order fix and varying fractal, varying both fractional and fractal order for fixed values, varying values arbitrarily, and for long term, we achieve better results for fitting than that of integer order for commercial and rural data. This new definition of fractal-fractional in the form of Caputo-Fabrizio derivative provide better results than that of the ordinary integer order. |
| first_indexed | 2024-12-18T00:05:29Z |
| format | Article |
| id | doaj.art-a9eeb60a674146adb35efb505de783fb |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-18T00:05:29Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-a9eeb60a674146adb35efb505de783fb2022-12-21T21:27:48ZengElsevierAlexandria Engineering Journal1110-01682020-08-0159419851998Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operatorAbdon Atangana0Muhammad Altaf Khan1 Fatmawati2Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, TaiwanInstitute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa; Corresponding author.Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Surabaya 60115, IndonesiaThe present paper consider a newly introduced operator known as fractal-fractional where the fractional operator considered is Caputo-Fabrizio. We consider a competition system and propose the field data of banks for 2004–2014 of Indonesia banks of the type rural and commercial. The model with fractal-fractional operator known as fractal-fractional Caputo-Fabrizio derivative is formulated and show their analysis. We give a novel method to solve the model numerically and present the graphical results. We consider different values of the fractal and fractional order parameters and compare the results with integer order fitting for real data. We show keeping fractal order fix and varying fractional order, keeping fractional order fix and varying fractal, varying both fractional and fractal order for fixed values, varying values arbitrarily, and for long term, we achieve better results for fitting than that of integer order for commercial and rural data. This new definition of fractal-fractional in the form of Caputo-Fabrizio derivative provide better results than that of the ordinary integer order.http://www.sciencedirect.com/science/article/pii/S1110016819301802Fractal-fractional Caputo-Fabrizio modelBanking data modelActual dataSimulation results |
| spellingShingle | Abdon Atangana Muhammad Altaf Khan Fatmawati Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator Alexandria Engineering Journal Fractal-fractional Caputo-Fabrizio model Banking data model Actual data Simulation results |
| title | Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator |
| title_full | Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator |
| title_fullStr | Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator |
| title_full_unstemmed | Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator |
| title_short | Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator |
| title_sort | modeling and analysis of competition model of bank data with fractal fractional caputo fabrizio operator |
| topic | Fractal-fractional Caputo-Fabrizio model Banking data model Actual data Simulation results |
| url | http://www.sciencedirect.com/science/article/pii/S1110016819301802 |
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