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

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

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....

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Bibliographic Details
Main Authors: Khellaf Ould Melha, Medjahed Djilali, Vaijanath L. Chinchane, Asha B. Nale, Sabri T. M. Thabet, Imed Kedim
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Boundary Value Problems
Subjects:
UH and UHR stability
Resolvent operators
Caputo–Fabrizio fractional derivative
Abstract fractional differential equation
Spatial heterogeneous viral infection model
Online Access:https://doi.org/10.1186/s13661-025-02077-9
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Summary: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 ( U H R $UHR$ ) type for the solution of this model is studied. Examples of partial differential equations utilizing the Caputo–Fabrizio derivative are also presented.
ISSN:1687-2770

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