A new numerical solution of the competition model among bank data in Caputo-Fabrizio derivative

Xue Gong, Fatmawati, Muhammad Altaf Khan

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

A new numerical scheme for the Caputo-Fabrizio operator is proposed. We initially present a bank model with real data and then present the model in the fractional Caputo-Fabrizio derivative. We estimate and fit the model parameter using the least square curve fitting. The Caputo-Fabrizio model is solved numerically by using three steps Adams-Bashforth method. The proposed scheme is used to obtain graphical results for bank data of rural and commercial. The real data of rural and commercial banks are used to fit with Caputo-Fabrizio model. We show that the Caputo-Fabrizio model show good fitting for the fractional order parameters versus the real data of rural and commercial bank. Further, we show graphical illustration for some values of the fractional order in order to show the effectiveness of the proposed new numerical scheme.

Original languageEnglish
Pages (from-to)2251-2259
Number of pages9
JournalAEJ - Alexandria Engineering Journal
Volume59
Issue number4
DOIs
Publication statusPublished - Aug 2020

Keywords

  • Bank competition model
  • Caputo-Fabrizio operator
  • Numerical results
  • Three steps Adams-Bashforth method

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