{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T04:40:21Z","timestamp":1769834421641,"version":"3.49.0"},"reference-count":71,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,31]],"date-time":"2025-07-31T00:00:00Z","timestamp":1753920000000},"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>Normal and anomalous diffusion processes are characterized by the time evolution of the mean square displacement of a diffusing molecule \u03c32(t). When \u03c32(t) is a power function of time, the process is described by a fractional subdiffusion, fractional superdiffusion or normal diffusion equation. However, for other forms of \u03c32(t), diffusion equations are often not defined. We show that to describe diffusion characterized by \u03c32(t), the g-subdiffusion equation with the fractional Caputo derivative with respect to a function g can be used. Choosing an appropriate function g, we obtain Green\u2019s function for this equation, which generates the assumed \u03c32(t). A method for solving such an equation, based on the Laplace transform with respect to the function g, is also described.<\/jats:p>","DOI":"10.3390\/e27080816","type":"journal-article","created":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T15:09:53Z","timestamp":1754492993000},"page":"816","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["G-Subdiffusion Equation as an Anomalous Diffusion Equation Determined by the Time Evolution of the Mean Square Displacement of a Diffusing Molecule"],"prefix":"10.3390","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5710-2970","authenticated-orcid":false,"given":"Tadeusz","family":"Koszto\u0142owicz","sequence":"first","affiliation":[{"name":"Institute of Physics, Jan Kochanowski University, Uniwersytecka 7, 25-406 Kielce, Poland"},{"name":"Department of Radiological Informatics and Statistics, Medical University of Gda\u0144sk, Tuwima 15, 80-210 Gda\u0144sk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5171-4009","authenticated-orcid":false,"given":"Aldona","family":"Dutkiewicz","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Uniwersytetu Pozna\u0144skiego 4, 61-614 Pozna\u0144, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8883-1156","authenticated-orcid":false,"given":"Katarzyna D.","family":"Lewandowska","sequence":"additional","affiliation":[{"name":"Department of Physics and Biophysics, Medical University of Gda\u0144sk, D\u0229binki 1, 80-211 Gda\u0144sk, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1063\/1.1704269","article-title":"Random walks on lattices II","volume":"6","author":"Montroll","year":"1965","journal-title":"J. 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