A fractional order alcoholism model via Caputo-Fabrizio derivative

A fractional order alcoholism model via Caputo-Fabrizio derivative

A fractional order mathematical model of the Caputo-Fabrizio type is presented for an alcoholism model. The existence and the uniqueness of the alcoholism model were investigated by using a fixed-point theorem. Numerical solutions for the model were obtained by using special parameter values. Keywor...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (2), p.781-797
1. Verfasser: Ali Dokuyucu, Mustafa
Format: Artikel
Sprache:eng
Schlagworte:
Alcoholism
alcoholism model
Analysis
caputo–fabrizio fractional derivative
fixed point theory
laplace transform
numerical solution
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Zusammenfassung:A fractional order mathematical model of the Caputo-Fabrizio type is presented for an alcoholism model. The existence and the uniqueness of the alcoholism model were investigated by using a fixed-point theorem. Numerical solutions for the model were obtained by using special parameter values. Keywords: Caputo-Fabrizio fractional derivative; alcoholism model; Laplace transform; numerical solution; fixed point theory Mathematics Subject Classification: 26A33, 34K28, 39A14, 93A30
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020053