Work

Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model

Year: 2025

Type: article

Abstract: This paper proposes a general model of fractional spatial heterogeneouse viral infection. The resolvent operator’s method and a fixed point theorem are employed to establish the existence and uniqueness of mild solutions for abstract fractional spatial heterogeneous viral infection models. Additionally, the stability of Ulam–Hyers (UH) and Ulam–Hyers–Rassias ( $UHR$ U H R ) type for the solution of this model is studied. Examples of partial differential equations utilizing the Caputo–Fabrizio derivative are also presented.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02077-9

Authors: Khellaf Ould Melha, Medjahed Djilali, Vaijanath L. Chinchane, Asha B. Nale, Sabri T. M. Thabet, Imed Kedim