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| Autore principale: | |
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| Natura: | Recurso digital |
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Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.19959832 |
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Sommario:
- <p>We study causal Volterra memory operators with non-singular kernels whose Laplace symbols belong to the Stieltjes class. Under these assumptions, the kernel admits a positive representation as a constant zero-relaxation mode, a possible Dirac mass at the origin, and a superposition of exponentially decaying modes. The non-singularity assumption excludes the Dirac contribution, while the absence of a permanent mode yields a finite positive mixture of first-order relaxation channels.</p> <p>This gives a Stieltjes non-evasion principle: within the non-singular Stieltjes class, fractional-looking kernels do not generate autonomous singular fractional dynamics, but reduce structurally to distributed exponential relaxation. The result is applied to the Caputo-Fabrizio, Atangana-Baleanu-Caputo, and Prabhakar-type kernels, clarifying the distinction between being fractional in form and fractional in structure. A brief application to Navier-Stokes equations with memory is also discussed.</p>