{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:44:19Z","timestamp":1760240659775,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"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>The solutions for velocity and stress are derived by using the methods of Laplace transformation and Modified Bessel\u2019s equation for the rotational flow of Burgers\u2019 fluid flowing through an unbounded round channel. Initially, supposed that the fluid is not moving with t = 0 and afterward fluid flow is because of the circular motion of the around channel with velocity     \u03a9 R  t p      with time positively grater than zero. At the point of complicated expressions of results, the inverse Laplace transform is alternately calculated by \u201cStehfest\u2019s algorithm\u201d and \u201cMATHCAD\u201d numerically. The numerically obtained solutions in the terms of the Modified Bessel\u2019s equations of first and second kind, are satisfying all the imposed conditions of given mathematical model. The impact of the various physical and fractional parameters are also indeed and so presented by graphical demonstrations.<\/jats:p>","DOI":"10.3390\/sym11080962","type":"journal-article","created":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T11:39:37Z","timestamp":1564659577000},"page":"962","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Solutions of Non-Integer Order Burgers\u2019 Fluid Flowing through a Round Channel with Semi Analytical Technique"],"prefix":"10.3390","volume":"11","author":[{"given":"M.","family":"Imran","sequence":"first","affiliation":[{"name":"Department of Mathematics, Government College University, Faisalabad, Punjab 38000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.L.C.","family":"Ching","sequence":"additional","affiliation":[{"name":"Fundamental and Applied Science Department, Universiti Teknologi Petronas, 32610 Perak, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rabia","family":"Safdar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government College University, Faisalabad, Punjab 38000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2056-9371","authenticated-orcid":false,"given":"Ilyas","family":"Khan","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Imran","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Management and Technology Lahore, Punjab 54770, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5769-4320","authenticated-orcid":false,"given":"K.","family":"Nisar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser 11991, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,1]]},"reference":[{"key":"ref_1","first-page":"289","article-title":"Stability of a viscous liquid contained between two rotating cylinders","volume":"223","author":"Taylor","year":"1923","journal-title":"Philos. 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