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

[41] Numerical solution of fractional order smoking model via laplace Adomian decomposition method
Haq, Fazal
Shah, Kamal
Rahman, Ghaus Ur
Shahzad, Muhammad
ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (02) : 1061 - 1069
[42] Computational study of fractional order smoking model
Singh, Harendra
Baleanu, Dumitru
Singh, Jagdev
Dutta, Hemen
CHAOS SOLITONS & FRACTALS, 2021, 142
[43] An approximate wavelets solution to the class of variational problems with fractional order
Rayal, Ashish
Verma, Sag Ram
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 65 (1-2) : 735 - 769
[44] An approximate wavelets solution to the class of variational problems with fractional order
Ashish Rayal
Sag Ram Verma
Journal of Applied Mathematics and Computing, 2021, 65 : 735 - 769
[45] Semi-analytical approach for the approximate solution of Harry Dym and Rosenau-Hyman equations of fractional order
Nagaraja, M.
Chethan, H. B.
Shivamurthy, T. R.
Shah, Mohd Asif
Prakasha, D. G.
RESEARCH IN MATHEMATICS, 2024, 11 (01):
[46] Analytical solution of fractional variable order differential equations
Malesza, W.
Macias, M.
Sierociuk, D.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 348 : 214 - 236
[47] Analytical solution of the linear fractional system of commensurate order
Charef, Abdelfatah
Boucherma, Djamel
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) : 4415 - 4428
[48] APPROXIMATE SOLUTION OF A NONLINEAR FRACTIONAL-ORDER HIV MODEL USING HOMOTOPY ANALYSIS METHOD
Naik, Parvaiz Ahmad
Ghoreishi, Mohammad
Zu, Jian
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 19 (01) : 52 - 84
[49] Approximate analytical solutions of distributed order fractional Riccati differential equation
Aminikhah, Hossein
Sheikhani, Amir Hosein Refahi
Rezazadeh, Hadi
AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) : 581 - 588
[50] Approximate analytical solution of fourth order boundary value problems
Waleed Al-Hayani
Luis Casasús
Numerical Algorithms, 2005, 40 : 67 - 78

← 1 2 3 4 5 →