Answers are grounded in this paper and cite their sources.
Theoretical analysis demonstrates stability criteria for fractional partial differential equations using Lyapunov functionals, indicating direct derivation from integer-order systems.
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.
No takes yet. Share an insight, caveat, or question.
Boukhouima et al. (2026) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: