{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,25]],"date-time":"2026-04-25T09:01:20Z","timestamp":1777107680283,"version":"3.51.4"},"reference-count":50,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T00:00:00Z","timestamp":1614902400000},"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 present research article is related to the analytical investigation of some fractional-order equal-width equations. The homotopy perturbation technique along with Elzaki transformation is implemented to discuss the fractional view analysis of equal-width equations. For better understanding of the proposed procedure some examples related to equal-width equations are presented. The identical behavior of the derived and actual solutions is observed. The proposed technique can be modified to study the fractional view analysis of other problems in various areas of applied sciences.<\/jats:p>","DOI":"10.3390\/sym13030418","type":"journal-article","created":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T05:03:15Z","timestamp":1614920595000},"page":"418","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Numerical Investigation of Time-Fractional Equivalent Width Equations That Describe Hydromagnetic Waves"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8112-4993","authenticated-orcid":false,"given":"Nehad Ali","family":"Shah","sequence":"first","affiliation":[{"name":"Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 58307, Vietnam"},{"name":"Faculty of Mathematics &amp; Statistics, Ton Duc Thang University, Ho Chi Minh City 58307, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ioannis","family":"Dassios","sequence":"additional","affiliation":[{"name":"AMPSAS, University College Dublin, D4 Dublin, Ireland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0862-0648","authenticated-orcid":false,"given":"Jae Dong","family":"Chung","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Baleanu, D., Guvenc, Z.B., and Machado, J.T. 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