Work

Lower Bounds of Blow-Up Time for Certain Fractional Diffusion Equations and Systems with Nonlinear Memory Terms in Bounded Domains

Year: 2025

Type: article

Abstract: In this paper, we prove the lower bounds of the blow-up time of solutions for certain Caputo time fractional diffusion equations and systems with nonlinear memory terms under homogeneous Dirichlet boundary conditions. The proofs of our results rely on the auxiliary function method, the differential inequality technique, and the properties of the solutions of fractional differential inequalities.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10010014

Authors: Quanguo Zhang, Yaning Li

Institutions: Luoyang Normal University, Nanjing University of Information Science and Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funders: National Science Foundation, National Natural Science Foundation of China, Natural Science Foundation of Henan Province