Dynamics of nonlinear anomalous reaction-diffusion models: Global existence and blow-up of solutions

2025

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DOI 10.3934/eect.2025028
Data confidence 70 medium
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Abstract

In this paper, we investigate a large class of nonlinear reaction-diffusion models with fractional Laplacians. We employ a combination of the concavity method and the first-order differential inequality technique to establish the necessary conditions for both global existence and blow-up solutions. We also illustrate our main results through concrete examples.