Next Article in Journal
Fractal and Fluid Mobility Analysis of Pore-Throat Systems in Sandstone Reservoirs Based on HPMI and NMR: A Case Study from the Nahr Umr Formation, Iraq
Previous Article in Journal
Calculation Method of Bound Water Saturation in Unconventional Reservoirs Using Fractal Theory
Previous Article in Special Issue
Existence of Solutions to Fractional Differential Inclusions with Non-Separated and Multipoint Boundary Constraints
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Fractal Fract
Volume 10
Issue 1
10.3390/fractalfract10010014
fractalfract-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

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

by
Quanguo Zhang
1,*,† and
Yaning Li
2,*,†
1
Department of Mathematics, Luoyang Normal University, Luoyang 471022, China
2
College of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China
*
Authors to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Fractal Fract. 2026, 10(1), 14; https://doi.org/10.3390/fractalfract10010014 (registering DOI)
Submission received: 16 October 2025 / Revised: 22 December 2025 / Accepted: 23 December 2025 / Published: 25 December 2025
(This article belongs to the Special Issue Theoretical Development and Application in Analytical and Numerical Methods for Fractional Differential Equations)
Versions Notes

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.
Keywords: fractional diffusion equation; nonlinear memory; blow-up time; lower bounds fractional diffusion equation; nonlinear memory; blow-up time; lower bounds

Share and Cite

MDPI and ACS Style

Zhang, Q.; Li, Y. Lower Bounds of Blow-Up Time for Certain Fractional Diffusion Equations and Systems with Nonlinear Memory Terms in Bounded Domains. Fractal Fract. 2026, 10, 14. https://doi.org/10.3390/fractalfract10010014

AMA Style

Zhang Q, Li Y. Lower Bounds of Blow-Up Time for Certain Fractional Diffusion Equations and Systems with Nonlinear Memory Terms in Bounded Domains. Fractal and Fractional. 2026; 10(1):14. https://doi.org/10.3390/fractalfract10010014

Chicago/Turabian Style

Zhang, Quanguo, and Yaning Li. 2026. "Lower Bounds of Blow-Up Time for Certain Fractional Diffusion Equations and Systems with Nonlinear Memory Terms in Bounded Domains" Fractal and Fractional 10, no. 1: 14. https://doi.org/10.3390/fractalfract10010014

APA Style

Zhang, Q., & Li, Y. (2026). Lower Bounds of Blow-Up Time for Certain Fractional Diffusion Equations and Systems with Nonlinear Memory Terms in Bounded Domains. Fractal and Fractional, 10(1), 14. https://doi.org/10.3390/fractalfract10010014

Article Metrics

Article metric data becomes available approximately 24 hours after publication online.
Back to TopTop