{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T04:03:52Z","timestamp":1769227432171,"version":"3.49.0"},"reference-count":23,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T00:00:00Z","timestamp":1747008000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"University of Jeddah, Jeddah, Saudi Arabia","award":["UJ-24-DR-20768-1"],"award-info":[{"award-number":["UJ-24-DR-20768-1"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this study, we suggest a straightforward analytical\/semi-analytical method based on the Elzaki transform (ET) method to find the solution to a number of differential fractional boundary value problems with initial conditions (ICs). The suggested approach not only resolves the issue of some equation nonlinearity but also transforms the issue into a simpler algebraic recurrence problem. In science and engineering, fractional differential equations (FDEs) can be solved with the help of this basic but effective concept. Some illustrative cases are used to demonstrate the efficacy and value of the suggested technique.<\/jats:p>","DOI":"10.3390\/axioms14050363","type":"journal-article","created":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T10:58:07Z","timestamp":1747047487000},"page":"363","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["An Innovative Analytical Approach for the Solution of Fractional Differential Equations Using the Integral Transform"],"prefix":"10.3390","volume":"14","author":[{"given":"Eltaib M.","family":"Abd Elmohmoud","sequence":"first","affiliation":[{"name":"Mathematics Department, University of Jeddah, Jeddah 23218, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6946-9267","authenticated-orcid":false,"given":"Tarig M.","family":"Elzaki","sequence":"additional","affiliation":[{"name":"Mathematics Department, University of Jeddah, Jeddah 23218, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"304","DOI":"10.2514\/3.20641","article-title":"Fractional order state equations for the control of viscoelastically damped structures","volume":"14","author":"Bagley","year":"1991","journal-title":"J. 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