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Updated: Sep 26, 2025

A Data-Driven Approach to Quantifying Immune States in Sepsis
Published on: February 7, 2025
Investigation of a time-fractional COVID-19 mathematical model with singular kernel
Adnan1, Amir Ali1, Mati Ur Rahmamn2
1Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa Pakistan.
Abstract:
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.
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