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It exists for a wide class of fuzzy processes, since the generalized difference exists for any pair of fuzzy numbers. Despite its historical significance, few papers provide theoretical results on the g-derivative, primarily because of its complex analytical behavior. On the other hand, analyzing solutions to fuzzy differential equations from a comparative Hukuhara-type perspective allows establishing features of FDEs whose solutions are exclusively g-differentiable. The study begins by providing a corrected version of the fundamental theorem of calculus via the g-differentiability and Aumann integrability of a fuzzy function. Sufficient conditions over the field of a fuzzy initial value problem for the gH\n                    <jats:inline-formula>\n                      <jats:tex-math>$$*$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -differentiability of the solutions are presented. Lastly, results on fuzzy processes derived from solutions of FDEs that are g-differentiable, but not gH, and not even gH\n                    <jats:inline-formula>\n                      <jats:tex-math>$$*$$<\/jats:tex-math>\n                    <\/jats:inline-formula>\n                    -differentiable, are given. Examples of population dynamics governed by the Malthusian and Logistic models are provided to illustrate different scenarios for the presented analysis.\n                  <\/jats:p>","DOI":"10.1007\/s00500-026-11183-4","type":"journal-article","created":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T12:45:04Z","timestamp":1770813904000},"page":"2219-2237","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Analysis of solutions of fuzzy differential equations under the generalized derivative"],"prefix":"10.1007","volume":"30","author":[{"given":"Felipe","family":"Longo","sequence":"first","affiliation":[]},{"given":"Beatriz","family":"Laiate","sequence":"additional","affiliation":[]},{"given":"Marta C.","family":"Gadotti","sequence":"additional","affiliation":[]},{"given":"Jo\u00e3o F. C. 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