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 50 条

[1] Approximate Solution and Analysis of Smoking Epidemic Model with Caputo Fractional Derivatives
Abdullah M.
Ahmad A.
Raza N.
Farman M.
Ahmad M.O.
International Journal of Applied and Computational Mathematics, 2018, 4 (5)
[2] Approximate solution for solving nonlinear fractional order smoking model
Mahdy, A. M. S.
Sweilam, N. H.
Higazy, M.
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (02) : 739 - 752
[3] An approach for approximate solution of fractional-order smoking model with relapse class
Zeb, Anwar
Erturk, Vedat Suat
Khan, Umar
Zaman, Gul
Momani, Shaher
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (06)
[4] On the Analytical Solution of Fractional SIR Epidemic Model
Qazza, Ahmad
Saadeh, Rania
APPLIED COMPUTATIONAL INTELLIGENCE AND SOFT COMPUTING, 2023, 2023
[5] Analysis and Simulation of Fractional Order Smoking Epidemic Model
Ahmad, Aqeel
Farman, Muhammad
Ghafar, Abdul
Inc, Mustafa
Ahmad, Mohammad Ozair
Sene, Ndolane
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2022, 2022
[6] On the solution of fractional order SIS epidemic model
Hassouna, M.
Ouhadan, A.
El Kinani, E. H.
CHAOS SOLITONS & FRACTALS, 2018, 117 : 168 - 174
[7] Approximate analytical solution of fractional order biochemical reaction model and its stability analysis
Dubey, Ved Prakash
Kumar, Rajnesh
Kumar, Devendra
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (05)
[8] Analytical Approximate Solution of the Fractional Order Biological Population Model by Using Natural Transform
Ali, Nasir
Nawaz, Rashid
Zada, Laiq
Mouldi, Abir
Bouzgarrou, Souhail Mohamed
Sene, Ndolane
JOURNAL OF NANOMATERIALS, 2022, 2022
[9] Approximate Solution to Fractional Order Models Using a New Fractional Analytical Scheme
Nadeem, Muhammad
Iambor, Loredana Florentina
FRACTAL AND FRACTIONAL, 2023, 7 (07)
[10] Approximate solution for the nonlinear fractional order mathematical model
Mahreen, Kahkashan
Ain, Qura Tul
Rahman, Gauhar
Abdalla, Bahaaeldin
Shah, Kamal
Abdeljawad, Thabet
AIMS MATHEMATICS, 2022, 7 (10): : 19267 - 19286

← 1 2 3 4 5 →