Zahir
Shah
Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan
Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, 10140, Bangkok, Thailand
Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Adnan
dynamics
existence
uniqueness solution
model
investigation
data
numerical simulations
solution
Laplace Adomian decomposition
https://doi.org/10.1186/s13662-022-03701-z
articles
considered system
classical integer order
34
Investigation of a time-fractional COVID-19 mathematical model with singular kernel
approximation
2022-04-18
integer order
system
fractional dynamics
article
COVID-19 mathematical model
2022-09-02T16:08
better comparison
technique
kernel
real data
mathematical model
perturbation technique
simulations
order
We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace–Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximate series solutions of the considered system. The existence and uniqueness solution of the system are presented by using the Banach fixed-point theorem. Ulam–Hyers-type stability is investigated for the proposed model. The obtained approximations are compared with numerical simulations of the proposed model as well as associated real data for numerous fractional-orders. The results reveal a good comparison between the numerical simulations versus approximations of the considered model. Further, one can see good agreements are obtained as compared to the classical integer order.
good agreement
comparison
fixed-point theorem
true
https://scigraph.springernature.com/explorer/license/
approximate series solution
2022-04-18
Caputo derivative
results
agreement
Banach fixed-point theorem
stability
derivatives
homotopy perturbation technique
decomposition
singular kernel
series solution
theorem
Ali
Amir
Mathematical Sciences
Pure Mathematics
Springer Nature - SN SciGraph project
2022
pubmed_id
35462615
Mati
ur Rahmamn
1
10.1186/s13662-022-03701-z
doi
Poom
Kumam
Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, P.R. China
Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, P.R. China
Department of Mathematical Sciences, University of Lakki Marwat, 28420, Lakki Marwat, Khyber Pakhtunkhwa, Pakistan
Department of Mathematical Sciences, University of Lakki Marwat, 28420, Lakki Marwat, Khyber Pakhtunkhwa, Pakistan
2731-4235
Springer Nature
1687-1839
Advances in Continuous and Discrete Models
dimensions_id
pub.1147180717