{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T09:52:11Z","timestamp":1775814731554,"version":"3.50.1"},"reference-count":39,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,4]],"date-time":"2022-07-04T00:00:00Z","timestamp":1656892800000},"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>This research explores the solitary wave solutions, including dynamic transitions for a fractional low-pass electrical transmission (LPET) line model. The fractional-order (FO) LPET line mathematical system has yet to be published, and neither has it been addressed via the extended direct algebraic technique. A computer program is utilized to validate all of the incoming solutions. To illustrate the dynamical pattern of a few obtained solutions indicating trigonometric, merged hyperbolic, but also rational soliton solutions, dark soliton solutions, the representatives of the semi-bright soliton solutions, dark singular, singular solitons of Type 1 and 2, and their 2D and 3D trajectories are presented by choosing appropriate values of the solutions\u2019 unrestricted parameters. The effects of fractionality and unrestricted parameters on the dynamical performance of achieved soliton solutions are depicted visually and thoroughly explored. We furthermore discuss the sensitivity assessment. We, however, still examine how our model\u2019s perturbed dynamical framework exhibits quasi periodic-chaotic characteristics. Our investigated solutions are compared with those listed in published literature. This research demonstrates the approach\u2019s profitability and effectiveness in extracting a range of wave solutions to nonlinear evolution problems in mathematics, technology, and science.<\/jats:p>","DOI":"10.3390\/sym14071377","type":"journal-article","created":{"date-parts":[[2022,7,4]],"date-time":"2022-07-04T23:38:55Z","timestamp":1656977935000},"page":"1377","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Analytical Analyses for a Fractional Low-Pass Electrical Transmission Line Model with Dynamic Transition"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5024-866X","authenticated-orcid":false,"given":"Hassan","family":"Almusawa","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Sciences, Jazan University, Jazan 45142, Saudi Arabia"}]},{"given":"Adil","family":"Jhangeer","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Namal University, Mianwali 42250, Pakistan"}]},{"given":"Maham","family":"Munawar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Central Punjab, Lahore 54000, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"279681","DOI":"10.1155\/2013\/279681","article-title":"A note on fractional order derivatives and table of fractional derivatives of some special functions","volume":"2013","author":"Atangana","year":"2013","journal-title":"Abstr. 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