Analytical approximate solution of fractional order smoking epidemic model

被引：10

作者：

Gunerhan, Hatira ^{[1
]}

Rezazadeh, Hadi ^{[2
]}

Adel, Waleed ^{[3
,10
]}

Hatami, Mohammad ^{[4
]}

Sagayam, Kulandairaj Martin ^{[5
]}

Emadifar, Homan ^{[6
,7
]}

Asjad, Muhammad Imran ^{[8
]}

Hamasalh, Faraidun K. ^{[7
]}

Hamoud, Ahmed A. ^{[9
]}

机构：

[1] Kafkas Univ, Fac Educ, Dept Math, Kars, Turkey

[2] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[3] Mansoura Univ, Fac Engn, Dept Math & Engn Phys, Mansoura, Egypt

[4] Esfarayen Univ Technol, Dept Mech Engn, Esfarayen, North Khorasan, Iran

[5] Karunya Inst Technol & Sci, Dept ECE, Coimbatore, Tamil Nadu, India

[6] Islamic Azad Univ, Dept Math, Hamedan Branch, Hamadan, Hamadan, Iran

[7] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani, Iraq

[8] Univ Management & Technol, Dept Math, Lahore, Pakistan

[9] Taiz Univ, Dept Math, Taizi 380015, Yemen

[10] Univ Francaise Egypte, Ismailia Desert Rd, Cairo, Egypt

来源：

ADVANCES IN MECHANICAL ENGINEERING | 2022年 / 14卷 / 09期

关键词：

Fractional differential transform method (FDTM); smoking epidemic model; fractional power series; 1ST INTEGRAL METHOD; MATHEMATICAL-MODEL; EQUATIONS; EVOLUTION;

D O I：

10.1177/16878132221123888

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, the fractional smoking epidemic model is presented. The model is presented in terms of Caputo's fractional derivation. The fractional differential transformation method (FDTM) is presented to find an approximate analytical solution to the model. The method is tested on the model and the solution is compared with the homotopy transform method. The method shows the form of fast converging series and the results prove the applicability of the proposed technique, which gives accurate results.

引用

页数：11

共 47 条

[11]

Caputo M., 1969, Elasticita e Dissipazione

[12]

Carvalho A., 2017, INT J DYN CONTROL, V5, P168, DOI [10.1007/s40435-016-0224-3, DOI 10.1007/S40435-016-0224-3]

[13]

Castillo-Garsow C., 1997, Technical Report Series, VBU-1505-M

[14] Application of Conformable Fractional Differential Transform Method for Fractional Optimal Control Problems [J].