A Mathematical Model of 99mTc-ECD Diffusion in Brain for Epileptic Patients
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Author list: Yarnvitayalert P., Saleewong T., Khamwan K., Bongsebandhu-Phubhakdi S.
Publisher: Elsevier
Publication year: 2019
Journal: Chaos, Solitons and Fractals (0960-0779)
Volume number: 126
ISSN: 0960-0779
eISSN: 1873-2887
Languages: English-Great Britain (EN-GB)
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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. © 2019 Elsevier Ltd
Keywords
Atangana–Baleanu derivative, Caputo derivative, Caputo–Fabrizio derivative, Numerical Solution, Parameters estimation, Real data of commercial and rural banks
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