{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,30]],"date-time":"2025-12-30T08:51:57Z","timestamp":1767084717580,"version":"build-2065373602"},"reference-count":51,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,10,16]],"date-time":"2022-10-16T00:00:00Z","timestamp":1665878400000},"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 work aims at a new semi-analytical technique called the Adomian decomposition method for the analysis of time-fractional Emden\u2013Fowler equations. The Laplace transformation and the iterative method are implemented to obtain the result of the given models. The suggested technique has the edge over other methods, as it does not need extra materials and calculations. The presented technique validity is demonstrated by examining four mathematical models. Due to the straightforward implementation, the proposed method can solve other non-linear fractional order problems.<\/jats:p>","DOI":"10.3390\/sym14102168","type":"journal-article","created":{"date-parts":[[2022,10,17]],"date-time":"2022-10-17T05:08:02Z","timestamp":1665983282000},"page":"2168","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Fractional View Analysis of Emden-Fowler Equations with the Help of Analytical Method"],"prefix":"10.3390","volume":"14","author":[{"given":"Thongchai","family":"Botmart","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Naeem","sequence":"additional","affiliation":[{"name":"Deanship of Joint First Year, Umm Al-Qura University, Makkah P.O. Box 715, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4306-8489","authenticated-orcid":false,"given":"Rasool","family":"Shah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8548-7078","authenticated-orcid":false,"given":"Naveed","family":"Iqbal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, University of Ha\u2019il, Ha\u2019il P.O. Box 2440, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1298","DOI":"10.1080\/01495739.2019.1623734","article-title":"Two-dimensional problem for thermoviscoelastic materials with fractional order heat transfer","volume":"42","author":"Hendy","year":"2019","journal-title":"J. Therm. Stress."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.apm.2019.06.018","article-title":"3-D time-dependent analysis of multilayered cross-anisotropic saturated soils based on the fractional viscoelastic model","volume":"76","author":"Ai","year":"2019","journal-title":"Appl. Math. 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