{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:26:50Z","timestamp":1760243210966,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2014,11,18]],"date-time":"2014-11-18T00:00:00Z","timestamp":1416268800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Considering that the movements of complex system entities take place on continuous, but non-differentiable, curves, concepts, like non-differentiable entropy, informational non-differentiable entropy and informational non-differentiable energy, are introduced. First of all, the dynamics equations of the complex system entities (Schr\u00f6dinger-type or fractal hydrodynamic-type) are obtained. The last one gives a specific fractal potential, which generates uncertainty relations through non-differentiable entropy. Next, the correlation between informational non-differentiable entropy and informational non-differentiable energy implies specific uncertainty relations through a maximization principle of the informational non-differentiable entropy and for a constant value of the informational non-differentiable energy. Finally, for a harmonic oscillator, the constant value of the informational non-differentiable energy is equivalent to a quantification condition.<\/jats:p>","DOI":"10.3390\/e16116042","type":"journal-article","created":{"date-parts":[[2014,11,18]],"date-time":"2014-11-18T11:39:36Z","timestamp":1416310776000},"page":"6042-6058","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Informational Non-Differentiable Entropy and Uncertainty Relations in Complex Systems"],"prefix":"10.3390","volume":"16","author":[{"given":"Maricel","family":"Agop","sequence":"first","affiliation":[{"name":"Department of Physics, Gheorghe Asachi Technical University of Ia\u0219i, Bd. D. Mangeron, no.67, Ia\u0219i, 700050, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alina","family":"Gavrilu\u021b","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, \"Al. I. 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