Mathematical analysis of fractional order alcoholism model

Muhammad Sher; Kamal Shah; Muhammad Sarwar; Manar A. Alqudah; Thabet Abdeljawad

doi:10.1016/j.aej.2023.07.010

Mathematical analysis of fractional order alcoholism model

Muhammad Sher, Kamal Shah, Muhammad Sarwar, Manar A. Alqudah, Thabet Abdeljawad^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this manuscript, we are going to study a novel model of the dynamics of alcohol consumption under induced complications. The mentioned model is considered under the concept of conformable fractional order derivative (CFOD). Currently, most of real-world problems are considered under fractional order derivatives because of their stable and global behavior. First, we will investigate the model for qualitative theory including existence and uniqueness of solution and Ulam-Hyers stability. For qualitative theory, we will use fixed point theory. In addition, we use a numerical method to find the approximate solution of the proposed model. In the final part of the paper, we give a detailed discussion of its numerical results and its graphical presentation.

Original language	English
Pages (from-to)	281-291
Number of pages	11
Journal	Alexandria Engineering Journal
Volume	78
DOIs	https://doi.org/10.1016/j.aej.2023.07.010
Publication status	Published - 1 Sept 2023
Externally published	Yes

Keywords

Alcohol-abuse models
Conformable fractional order derivative
Euler's method
Qualitative theory

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/j.aej.2023.07.010

Cite this

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title = "Mathematical analysis of fractional order alcoholism model",

abstract = "In this manuscript, we are going to study a novel model of the dynamics of alcohol consumption under induced complications. The mentioned model is considered under the concept of conformable fractional order derivative (CFOD). Currently, most of real-world problems are considered under fractional order derivatives because of their stable and global behavior. First, we will investigate the model for qualitative theory including existence and uniqueness of solution and Ulam-Hyers stability. For qualitative theory, we will use fixed point theory. In addition, we use a numerical method to find the approximate solution of the proposed model. In the final part of the paper, we give a detailed discussion of its numerical results and its graphical presentation.",

keywords = "Alcohol-abuse models, Conformable fractional order derivative, Euler's method, Qualitative theory",

author = "Muhammad Sher and Kamal Shah and Muhammad Sarwar and Alqudah, {Manar A.} and Thabet Abdeljawad",

note = "Publisher Copyright: {\textcopyright} 2023 THE AUTHORS",

year = "2023",

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doi = "10.1016/j.aej.2023.07.010",

language = "English",

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journal = "Alexandria Engineering Journal",

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T1 - Mathematical analysis of fractional order alcoholism model

AU - Sher, Muhammad

AU - Shah, Kamal

AU - Sarwar, Muhammad

AU - Alqudah, Manar A.

AU - Abdeljawad, Thabet

PY - 2023/9/1

Y1 - 2023/9/1

N2 - In this manuscript, we are going to study a novel model of the dynamics of alcohol consumption under induced complications. The mentioned model is considered under the concept of conformable fractional order derivative (CFOD). Currently, most of real-world problems are considered under fractional order derivatives because of their stable and global behavior. First, we will investigate the model for qualitative theory including existence and uniqueness of solution and Ulam-Hyers stability. For qualitative theory, we will use fixed point theory. In addition, we use a numerical method to find the approximate solution of the proposed model. In the final part of the paper, we give a detailed discussion of its numerical results and its graphical presentation.

AB - In this manuscript, we are going to study a novel model of the dynamics of alcohol consumption under induced complications. The mentioned model is considered under the concept of conformable fractional order derivative (CFOD). Currently, most of real-world problems are considered under fractional order derivatives because of their stable and global behavior. First, we will investigate the model for qualitative theory including existence and uniqueness of solution and Ulam-Hyers stability. For qualitative theory, we will use fixed point theory. In addition, we use a numerical method to find the approximate solution of the proposed model. In the final part of the paper, we give a detailed discussion of its numerical results and its graphical presentation.

KW - Alcohol-abuse models

KW - Conformable fractional order derivative

KW - Euler's method

KW - Qualitative theory

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DO - 10.1016/j.aej.2023.07.010

M3 - Article

AN - SCOPUS:85165714769

SN - 1110-0168

VL - 78

SP - 281

EP - 291

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

Mathematical analysis of fractional order alcoholism model

Abstract

Keywords

UN SDGs

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