A fractional order alcoholism model via Caputo-Fabrizio derivative

被引:36
作者
Dokuyucu, Mustafa Ali [1 ]
机构
[1] Ibrahim Cecen Univ Agri, Dept Math, Agri, Turkey
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 02期
关键词
Caputo-Fabrizio fractional derivative; alcoholism model; Laplace transform; numerical solution; fixed point theory; CONSUMPTION; DRINKING;
D O I
10.3934/math.2020053
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:781 / 797
页数:17
相关论文
共 27 条
[1]   Fractional derivatives with no-index law property: Application to chaos and statistics [J].
Atangana, Abdon ;
Gomez-Aguilar, J. F. .
CHAOS SOLITONS & FRACTALS, 2018, 114 :516-535
[2]   A new derivative with normal distribution kernel: Theory, methods and applications [J].
Atangana, Abdon ;
Gomez-Aguilar, J. F. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 476 :1-14
[3]   The effects of drug and alcohol consumption on driver injury severities in single-vehicle crashes [J].
Behnood, Ali ;
Mannering, Fred .
TRAFFIC INJURY PREVENTION, 2017, 18 (05) :456-462
[4]   LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].
CAPUTO, M .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&
[5]  
Caputo M., 2015, PROGR FRACT DIFFER A, V1, p2 1 13
[6]   Alcohol consumption as a cause of cancer [J].
Connor, Jennie .
ADDICTION, 2017, 112 (02) :222-228
[7]  
Diane S., 2017, INT J DIFFER EQU, V2017
[8]   Analytical Solutions of the Electrical RLC Circuit via Liouville-Caputo Operators with Local and Non-Local Kernels [J].
Francisco Gomez-Aguilar, Jose ;
Fabian Morales-Delgado, Victor ;
Antonio Taneco-Hernandez, Marco ;
Baleanu, Dumitru ;
Fabricio Escobar-Jimenez, Ricardo ;
Mohamed Al Qurashi, Maysaa .
ENTROPY, 2016, 18 (08)
[9]   Behavior characteristics of a cap-resistor, memcapacitor, and a memristor from the response obtained of RC and RL electrical circuits described by fractional differential equations [J].
Gomez Aguilar, Jose Francisco .
TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, 2016, 24 (03) :1421-1433
[10]   Analytical and Numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations' [J].
Gomez-Aguilar, J. F. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 494 :52-75