A comparison study of bank data in fractional calculus. (September 2019)

• Record Type: Journal Article
• Authors: Wang, Wanting; Khan, Muhammad Altaf; Fatmawati, ; Kumam, P.; Thounthong, P.
• Is Part Of: Chaos, solitons and fractals. Volume 126(2019)
• Page Start: 369
• Page End: 384
• Publication Date: 2019-09
• Subjects: Real data of commercial and rural banks -- Parameters estimation -- Caputo derivative -- Caputo–Fabrizio derivative -- Atangana–Baleanu derivative -- Numerical solution; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.07.025
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A comparison of Bank data in different fractional operators are proposed. Parameter estimations using the least square method is presented. Different fractional operators such as Caputo, Caputo–Fabrizio and Atangana–Baleanu versus real data is shown. A novel numerical approaches for the solution of fractional and parameter fractional model are given. Comparison of all the operators with real data is presented. 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.