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A comparison study of bank data in fractional calculus

Wanting Wang, Muhammad Altaf Khan, Fatmawati,, P. Kumam and P. Thounthong

Chaos, Solitons & Fractals, 2019, vol. 126, issue C, 369-384

Abstract: The present paper investigate the dynamics of the bank data through a competition model with real field data for the year 2004–2014. Initially, we formulate a competition model for the bank data and then use different fractional approaches to simulate the model with the real data for many fractional order parameters α. Then, we present a novel approach for each fractional model and provide a graphical illustration with real data. We show that all these fractional approaches have good resemblance to each other and can be used to model such real data case. We prove in general that the results of the fractional approaches utilized here are good for modeling purpose but also we prove the results of the fractional Atangana–Baleanu operator is more accurate and flexible and can be used confidently to modeled such real case problem.

Keywords: Real data of commercial and rural banks; Parameters estimation; Caputo derivative; Caputo–Fabrizio derivative; Atangana–Baleanu derivative; Numerical solution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:126:y:2019:i:c:p:369-384

DOI: 10.1016/j.chaos.2019.07.025

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