Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator

被引：29

作者：

Peter, Olumuyiwa James ^{[1
]}

Yusuf, Abdullahi ^{[2
,3
]}

Oshinubi, Kayode ^{[4
]}

Oguntolu, Festus Abiodun ^{[5
]}

Lawal, John Oluwasegun ^{[1
]}

Abioye, Adesoye Idowu ^{[1
]}

Ayoola, Tawakalt Abosede ^{[6
]}

机构：

[1] Univ Ilorin, Dept Math, Ilorin, Nigeria

[2] Fed Univ Dutse, Dept Math, Jigawa, Nigeria

[3] Biruni Univ, Dept Comp Engn, Istanbul, Turkey

[4] Lagos State Univ, Sch Fdn Studies, Lagos, Lagos State, Nigeria

[5] Fed Univ Technol, Dept Math, Minna, Nigeria

[6] Osun State Univ Oshogbo, Dept Math, Oshogbo, Nigeria

来源：

RESULTS IN PHYSICS | 2021年 / 29卷

关键词：

Pneumonia model; Caputo-Fabrizio fractional derivative; Fixed point theorem; Numerical results; MATHEMATICAL-MODEL; DISEASE; DERIVATIVES; COVID-19;

D O I：

10.1016/j.rinp.2021.104581

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, we present the Pneumococcal Pneumonia infection model using fractional order derivatives in the Caputo-Fabrizio sense. We use fixed-point theory to prove the existence of the solution and investigate the uniqueness of the model variables. The fractional Adams-Bashforth method is used to compute an iterative solution to the model. Finally, using the model parameter values to explain the importance of the arbitrary fractional order derivative, the numerical results are presented.

引用

页数：7

共 50 条

[31] A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives
Esmehan Uçar
Necati Özdemir
The European Physical Journal Plus, 136
[32] On Some Fractional Integral Inequalities Involving Caputo-Fabrizio Integral Operator
Chinchane, Vaijanath L.
Nale, Asha B.
Panchal, Satish K.
Chesneau, Christophe
AXIOMS, 2021, 10 (04)
[33] On the linear fuzzy model associated with Caputo-Fabrizio operator
Abdollahi, R.
Khastan, A.
Nieto, J. J.
Rodriguez-Lopez, R.
BOUNDARY VALUE PROBLEMS, 2018,
[34] ANALYZING A NOVEL CORONAVIRUS MODEL (COVID-19) IN THE SENSE OF CAPUTO-FABRIZIO FRACTIONAL OPERATOR
Dokuyucu, Mustafa Ali
Celik, Ercan
APPLIED AND COMPUTATIONAL MATHEMATICS, 2021, 20 (01) : 49 - 69
[35] Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator
Atangana, Abdon
Khan, Muhammad Altaf
Fatmawati
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) : 1985 - 1998
[36] On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative
Shah, Kamal
Jarad, Fahd
Abdeljawad, Thabet
ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (04) : 2305 - 2313
[37] Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator
Amir Ali
Saad Althobaiti
Ali Althobaiti
Khalid Khan
Rashid Jan
The European Physical Journal Special Topics, 2023, 232 : 2513 - 2529
[38] Cancer treatment model with the Caputo-Fabrizio fractional derivative
Mustafa Ali Dokuyucu
Ercan Celik
Hasan Bulut
Haci Mehmet Baskonus
The European Physical Journal Plus, 133
[39] Cancer treatment model with the Caputo-Fabrizio fractional derivative
Dokuyucu, Mustafa Ali
Celik, Ercan
Bulut, Hasan
Baskonus, Haci Mehmet
EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (03):
[40] On the mathematical model of Rabies by using the fractional Caputo–Fabrizio derivative
Seher Melike Aydogan
Dumitru Baleanu
Hakimeh Mohammadi
Shahram Rezapour
Advances in Difference Equations, 2020

← 1 2 3 4 5 →