A fractional model for the dynamics of competition between commercial and rural banks in Indonesia
In the present paper, we propose a mathematical model that describes the dynamics of competition between commercial and rural banks in Indonesia through two different fractional operators Atangana-Baleanu and Caputo. We present a parameter estimation of the Lotka–Volterra competition model by using...
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Elsevier Ltd.
2019
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id-langga.1142682022-03-22T08:42:39Z https://repository.unair.ac.id/114268/ A fractional model for the dynamics of competition between commercial and rural banks in Indonesia Fatmawati, .- Muhammad Altaf Khan, .- Muftiyatul Azizah, .- Windarto, .- SaifUllah, .- Q Science QA Mathematics QA370-387 Differential Equations In the present paper, we propose a mathematical model that describes the dynamics of competition between commercial and rural banks in Indonesia through two different fractional operators Atangana-Baleanu and Caputo. We present a parameter estimation of the Lotka–Volterra competition model by using the genetic algorithm method. Parameter estimation is done based on annual profit data of commercial and rural banks in Indonesia. The estimation results capable to predict the profit of commercial and rural banks every year which is not much different from the real data. Next, the competition model between commercial and rural banks in Indonesia is explored in the fractional sense of Atangana–Baleanu and Caputo derivative. The fractional model is examined through the Atangana–Baleanu and Caputo fractional derivative and present the results. A recent numerical procedure is used to obtain the graphical results using various values of the fractional order parameter for the dynamics of the model. A comparison of both the operators for various values of the fractional order parameters are given. We discussed briefly the results and then summarized briefly in section conclusion. Elsevier Ltd. 2019 Article PeerReviewed text en https://repository.unair.ac.id/114268/1/C05.%20Fulltext.pdf text en https://repository.unair.ac.id/114268/2/C05.%20Reviewer%20dan%20validasi.pdf text en https://repository.unair.ac.id/114268/3/C05.%20Similarity.pdf text en https://repository.unair.ac.id/114268/4/C05.%20Submission.pdf Fatmawati, .- and Muhammad Altaf Khan, .- and Muftiyatul Azizah, .- and Windarto, .- and SaifUllah, .- (2019) A fractional model for the dynamics of competition between commercial and rural banks in Indonesia. Chaos, Solitons and Fractals Nonlinear Science, and Nonequilibrium and Complex Phenomena, 122 (2019). pp. 32-46. ISSN 0960-0779 https://www.sciencedirect.com/science/article/pii/S0960077919300694?via%3Dihub |
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Q Science QA Mathematics QA370-387 Differential Equations Fatmawati, .- Muhammad Altaf Khan, .- Muftiyatul Azizah, .- Windarto, .- SaifUllah, .- A fractional model for the dynamics of competition between commercial and rural banks in Indonesia |
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In the present paper, we propose a mathematical model that describes the dynamics of competition between commercial and rural banks in Indonesia through two different fractional operators Atangana-Baleanu and Caputo. We present a parameter estimation of the Lotka–Volterra competition model by using the genetic algorithm method. Parameter estimation is done based on annual profit data of commercial and rural banks in Indonesia. The estimation results capable to predict the profit of commercial and rural banks every year which is not much different from the real data. Next, the competition model between commercial and rural banks in Indonesia is explored in the fractional sense of Atangana–Baleanu and Caputo derivative. The fractional model is examined through the Atangana–Baleanu and Caputo fractional derivative and present the results. A recent numerical procedure is used to obtain the graphical results using various values of the fractional order parameter for the dynamics of the model. A comparison of both the operators for various values of the fractional order parameters are given. We discussed briefly the results and then summarized briefly in section conclusion. |
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Article PeerReviewed |
author |
Fatmawati, .- Muhammad Altaf Khan, .- Muftiyatul Azizah, .- Windarto, .- SaifUllah, .- |
author_facet |
Fatmawati, .- Muhammad Altaf Khan, .- Muftiyatul Azizah, .- Windarto, .- SaifUllah, .- |
author_sort |
Fatmawati, .- |
title |
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia |
title_short |
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia |
title_full |
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia |
title_fullStr |
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia |
title_full_unstemmed |
A fractional model for the dynamics of competition between commercial and rural banks in Indonesia |
title_sort |
fractional model for the dynamics of competition between commercial and rural banks in indonesia |
publisher |
Elsevier Ltd. |
publishDate |
2019 |
url |
https://repository.unair.ac.id/114268/1/C05.%20Fulltext.pdf https://repository.unair.ac.id/114268/2/C05.%20Reviewer%20dan%20validasi.pdf https://repository.unair.ac.id/114268/3/C05.%20Similarity.pdf https://repository.unair.ac.id/114268/4/C05.%20Submission.pdf https://repository.unair.ac.id/114268/ https://www.sciencedirect.com/science/article/pii/S0960077919300694?via%3Dihub |
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