{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:05:21Z","timestamp":1753887921810,"version":"3.41.2"},"reference-count":56,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,9,8]],"date-time":"2021-09-08T00:00:00Z","timestamp":1631059200000},"content-version":"vor","delay-in-days":250,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In this article, free convection flow of an Oldroyd\u2010B fluid (OBF) through a vertical rectangular channel in the presence of heat generation or absorption subject to generalized boundary conditions is studied. The fractionalized mathematical model is established by Caputo time\u2010fractional derivative through mechanical laws (generalized shear stress constitutive equation and generalized Fourier\u2019s law). Closed form solutions for the velocity and temperature profiles are obtained via Laplace coupled with sine\u2010Fourier transforms and have been embedded with regards to the special functions, namely, the generalized G\u2010functions of Lorenzo and Hartley. Solutions of the known results from recently published work (Nehad et al. Chin. J. Phy., 65, (2020) 367\u2013376) are recovered as limiting cases. Finally, the effects of fractional and various physical parameters are graphically underlined. Furthermore, a comparison between Oldroyd\u2010B, Maxwell and viscous fluids (fractional and ordinary) is depicted. It is found that, for short time, ordinary fluids have greater velocity as compared to the fractional fluids.<\/jats:p>","DOI":"10.1155\/2021\/8946459","type":"journal-article","created":{"date-parts":[[2021,9,9]],"date-time":"2021-09-09T00:35:06Z","timestamp":1631147706000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Functional Application of G\u2010Functions of Lorenzo and Hartley on the Free Convection Flow of Oldroyd\u2010B Fluid with Ordinary and Fractional Techniques"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5060-7906","authenticated-orcid":false,"given":"Imran","family":"Siddique","sequence":"first","affiliation":[]},{"given":"Sehrish","family":"Ayaz","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3636-6990","authenticated-orcid":false,"given":"Dalal","family":"Alrowaili","sequence":"additional","affiliation":[]},{"given":"Sohaib","family":"Abdal","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,9,8]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1950.0035"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01212645"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-7225(00)00026-4"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0020-7462(02)00117-8"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijnonlinmec.2005.05.005"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2005.11.032"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10409-007-0093-2"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2008.10.002"},{"volume-title":"Natural Convection: Fundamentals and Applications","year":"1985","author":"Kakac S.","key":"e_1_2_9_9_2"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf02184046"},{"volume-title":"Transient Free Convection Flow between Two Long Vertical Parallel Plates with Constant Temperature and Mass Diffusion","year":"2008","author":"Narahari M.","key":"e_1_2_9_11_2"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cjph.2020.03.005"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2019.09.014"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.molliq.2019.110964"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2019.09.001"},{"key":"e_1_2_9_16_2","first-page":"197","article-title":"Unsteady hydromagnetic flow formation with Hall effect due to time-dependent free stream in a rotating medium","volume":"11","author":"Seth G. 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