{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T10:51:45Z","timestamp":1769597505002,"version":"3.49.0"},"reference-count":31,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,11,5]],"date-time":"2023-11-05T00:00:00Z","timestamp":1699142400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The main aim of this study is to implement the general integral transform technique to determine Ulam-type stability and Ulam\u2013Hyers\u2013Mittag\u2013Leffer stability. We are given suitable examples to validate and support the theoretical results. As an application, the general integral transform is used to find Ulam stability of differential equations arising in Thevenin equivalent electrical circuit system. The results are graphically represented, which provides a clear and thorough explanation of the suggested method.<\/jats:p>","DOI":"10.3390\/sym15112023","type":"journal-article","created":{"date-parts":[[2023,11,5]],"date-time":"2023-11-05T07:35:06Z","timestamp":1699169706000},"page":"2023","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Ulam\u2013Hyers Stability of Linear Differential Equation with General Transform"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0984-0159","authenticated-orcid":false,"given":"Sandra","family":"Pinelas","sequence":"first","affiliation":[{"name":"Departamento de Ci\u00eancias Exatas e Engenharia, Academia Militar, 2720-113 Amadora, Portugal"},{"name":"Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0749-6945","authenticated-orcid":false,"given":"Arunachalam","family":"Selvam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur 603 203, Tamil Nadu, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3757-8810","authenticated-orcid":false,"given":"Sriramulu","family":"Sabarinathan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulthur 603 203, Tamil Nadu, India"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,5]]},"reference":[{"key":"ref_1","unstructured":"Ulam, S.M. 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