Research on the Existence and Uniqueness of Solutions to Fractional Diffusion Equations with Three-Parameter Damping Terms

Axioms 2026 Open access

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Authors: Zhi-Chao Lu, Shi-You Lin, Tingting Hu
DOI: 10.3390/axioms15020136
Cited by: 3
References: 4

Abstract

This paper investigates a fractional diffusion equation incorporating a three-parameter damping. By employing a generalized Mittag–Leffler function alongside the associated Riemann–Liouville resolvent family, we establish the well-posedness of strong solutions. This model extends the classical two-parameter undamped case, thereby ensuring consistency with the existing theoretical framework.

Fields of Study & Subjects

Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis Differential Equations and Boundary Problems

Publication details

Journal / source
Axioms
Publisher
MDPI AG
Volume
15
Issue
2
Pages
136–136
Publication date
13 February 2026
Language
EN