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

Xue Gong; Muhammad Altaf Khan

doi:10.1016/j.aej.2020.02.008

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 journal › Article › peer-review

11 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 language	English
Pages (from-to)	2251-2259
Number of pages	9
Journal	AEJ - Alexandria Engineering Journal
Volume	59
Issue number	4
DOIs	https://doi.org/10.1016/j.aej.2020.02.008
Publication status	Published - Aug 2020

Keywords

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

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10.1016/j.aej.2020.02.008

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

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.",

keywords = "Bank competition model, Caputo-Fabrizio operator, Numerical results, Three steps Adams-Bashforth method",

author = "Xue Gong and Fatmawati and Khan, {Muhammad Altaf}",

note = "Funding Information: The authors are thankful to the anonymous reviewers and the handling editor for their constructive comments that improved the presentation of the paper greatly. The first author is supported by National Nature Science Foundation of China (NSFC) (No. 71704079 ) and the second and third authors are supported by Universitas Airlangga through Hibah Riset Mandat (No. 342/UN3.14/LT/2019). Publisher Copyright: {\textcopyright} 2020 Faculty of Engineering, Alexandria University",

year = "2020",

month = aug,

doi = "10.1016/j.aej.2020.02.008",

language = "English",

volume = "59",

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AU - Gong, Xue

AU - Fatmawati,

AU - Khan, Muhammad Altaf

N1 - Funding Information: The authors are thankful to the anonymous reviewers and the handling editor for their constructive comments that improved the presentation of the paper greatly. The first author is supported by National Nature Science Foundation of China (NSFC) (No. 71704079 ) and the second and third authors are supported by Universitas Airlangga through Hibah Riset Mandat (No. 342/UN3.14/LT/2019). Publisher Copyright: © 2020 Faculty of Engineering, Alexandria University

PY - 2020/8

Y1 - 2020/8

N2 - 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.

AB - 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.

KW - Bank competition model

KW - Caputo-Fabrizio operator

KW - Numerical results

KW - Three steps Adams-Bashforth method

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

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Keywords

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