Work

Lyapunov-based stability analysis of fractional partial differential equations

Year: 2026

Type: article

Abstract: This paper focuses on a novel method for the stability of fractional partial differential equations with a power fractional derivative. By some estimates of convex functions, we extend the Lyapunov functionals for ODE systems to their fractional-order counterparts with and without the Laplacian operator term. Accordingly, it is shown that the stability conditions in these systems can be derived from their integer-order equivalents. The efficiency of the proposed method is demonstrated through some applications.

Source: Fixed Point Theory and Algorithms for Sciences and Engineering

DOI: 10.1186/s13663-026-00846-4

Authors: Adnane Boukhouima, Zakaria Id-Said, Ausif Padder, El Mehdi Lotfi

Institutions: University of Hassan II Casablanca, Symbiosis International University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

Funder: Symbiosis International University