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Additionally, we deal with the generalized harmonic oscillator equation, showing that this transform and its properties allow one to solve fractional differential equations.<\/jats:p>","DOI":"10.3390\/sym13040669","type":"journal-article","created":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T12:34:50Z","timestamp":1618317290000},"page":"669","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["On the Generalized Laplace Transform"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5194-4173","authenticated-orcid":false,"given":"Paul","family":"Bosch","sequence":"first","affiliation":[{"name":"Facultad de Ingenier\u00eda, Universidad del Desarrollo, Ave. La Plaza 680, San Carlos de Apoquindo, Las Condes, Santiago 7550000, Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H\u00e9ctor Jos\u00e9","family":"Carmenate Garc\u00eda","sequence":"additional","affiliation":[{"name":"Centro Acapulco, Facultad de Matem\u00e1tica, Universidad Aut\u00f3noma de Guerrero, Calle Chilpancingo, Acapulco de Ju\u00e1rez, Guerrero 39610, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2851-7442","authenticated-orcid":false,"given":"Jos\u00e9 Manuel","family":"Rodr\u00edguez","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Legan\u00e9s, 28911 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4352-5109","authenticated-orcid":false,"given":"Jos\u00e9 Mar\u00eda","family":"Sigarreta","sequence":"additional","affiliation":[{"name":"Centro Acapulco, Facultad de Matem\u00e1tica, Universidad Aut\u00f3noma de Guerrero, Calle Chilpancingo, Acapulco de Ju\u00e1rez, Guerrero 39610, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,13]]},"reference":[{"key":"ref_1","first-page":"1","article-title":"M\u00e9moire sur quelques questions de g\u00e9om\u00e9trie et de m\u00e9canique, et sur un nouveau genre de calcul pour r\u00e9soudre ces questions","volume":"13","author":"Liouville","year":"1832","journal-title":"J. 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