A comparison study of bank data in fractional calculus

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

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)369-384
Number of pages16
JournalChaos, Solitons and Fractals
Publication statusPublished - Sept 2019


  • Atangana–Baleanu derivative
  • Caputo derivative
  • Caputo–Fabrizio derivative
  • Numerical solution
  • Parameters estimation
  • Real data of commercial and rural banks


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