Analysis and numerical simulation of fractional model of bank data with fractal-fractional Atangana-Baleanu derivative

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:369

Article

Wang, Wanting¹  Khan, Muhammad Altaf² 

[1] Capital Univ Econ & Business, Coll Finance, Beijing, Peoples R China

[2] City Univ Sci & Informat Technol, Dept Math, Peshawar, KP, Pakistan

关键词: Fractal-fractional Atangana-Baleanu operator;    Competition model;    Real data;    Numerical results;   

DOI  :  10.1016/j.cam.2019.112646

来源: Elsevier

【 摘 要 】

The main focus of this paper is to investigate the dynamics of the competition between rural and commercial bank with in the framework of fractal-fractional Atangana-Baleanu derivative sense. Initially, we take a model from literature and then utilize the real data since 2004-2014. We estimate effectively the parameters for the competition fractal-fractional model. Then, we provide a novel numerical technique for fractal-fractional model with many graphical results. We show graphical results for data fitting with the suggested operators and show that these two operators give the same results for the data fitting but varying both the values of the fractal and fractional order we have reasonable results. The results of the data fitting with these two operators are reliable and good are shown. Moreover, we present by comparing these two operators for many values of the fractal and fractional order parameters theta and alpha. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free