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
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
收藏
页数:7
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