Authors:
S. Mohamed Yaceena,P. S . Sheik Uduman,Shyamsunder Kumawat,Dowlath Fathima,DOI NO:
https://doi.org/10.26782/jmcms.2026.03.00011Keywords:
,Abstract
This paper presents a unified mathematical framework for modeling the pharmacokinetics of the drug delivery through both oral (gastrointestinal) and intravenous pathways of Khanday et. al. [XIV] The structure is formulated using the Caputo–Fabrizio fractional derivative with a non-singular exponential kernel, offering a more realistic description of the memory and diffusion processes compared to classical integer-order and singular fractional operators. Theoretical analysis is conducted to ensure the existence and uniqueness of a solution, applying the fixed-point theorem as the core analytical tool. Laplace transform techniques are employed to obtain explicit solutions, and the dynamic behaviour of the drug concentration in the bloodstream is illustrated through numerical simulations. The results highlight the influence of the fractional-order parameters on drug absorption and distribution, offering valuable insights for biomedical and pharmaceutical applications.Refference:
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