{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,23]],"date-time":"2026-06-23T23:00:23Z","timestamp":1782255623228,"version":"3.54.5"},"reference-count":36,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,2,28]],"date-time":"2018-02-28T00:00:00Z","timestamp":1519776000000},"content-version":"vor","delay-in-days":58,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006013","name":"United Arab Emirates University","doi-asserted-by":"publisher","award":["31S240-UPAR"],"award-info":[{"award-number":["31S240-UPAR"]}],"id":[{"id":"10.13039\/501100006013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>Fractional Walter\u2019s Liquid Model\u2010B has been used in this work to study the combined analysis of heat and mass transfer together with magnetohydrodynamic (MHD) flow over a vertically oscillating plate embedded in a porous medium. A newly defined approach of Caputo\u2010Fabrizio fractional derivative (CFFD) has been used in the mathematical formulation of the problem. By employing the dimensional analysis, the dimensional governing partial differential equations have been transformed into dimensionless form. The problem is solved analytically and solutions of mass concentration, temperature distribution, and velocity field are obtained in the presence and absence of porous and magnetic field impacts. The general solutions are expressed in the format of generalized Mittag\u2010Leffler function  and Fox\u2010<jats:bold>H<\/jats:bold> function  satisfying imposed conditions on the problem. These solutions have combined effects of heat and mass transfer; this is due to free convections differences between mass concentration and temperature distribution. Graphical illustration is depicted in order to bring out the effects of various physical parameters on flow. From investigated general solutions, the well\u2010known previously published results in the literature have been recovered. Graphs are plotted and discussed for rheological parameters.<\/jats:p>","DOI":"10.1155\/2018\/8131329","type":"journal-article","created":{"date-parts":[[2018,2,28]],"date-time":"2018-02-28T23:44:56Z","timestamp":1519861496000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":60,"title":["Analytical Solutions of Fractional Walter\u2019s B Fluid with Applications"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2853-9337","authenticated-orcid":false,"given":"Qasem","family":"Al-Mdallal","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2464-2863","authenticated-orcid":false,"given":"Kashif Ali","family":"Abro","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ilyas","family":"Khan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2018,2,28]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1021\/ie50588a042"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2013.08.004"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1615\/SpecialTopicsRevPorousMedia.v3.i1.80"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2013.11.006"},{"key":"e_1_2_10_5_2","first-page":"613","article-title":"Analytical solutions under no slip effects for accelerated flows of Maxwell fluids","volume":"47","author":"Abro K. 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