{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,15]],"date-time":"2026-06-15T17:47:03Z","timestamp":1781545623518,"version":"3.54.5"},"reference-count":49,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100007613","name":"Majmaah University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100007613","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2019]]},"DOI":"10.1109\/access.2019.2925699","type":"journal-article","created":{"date-parts":[[2019,7,7]],"date-time":"2019-07-07T16:45:03Z","timestamp":1562517903000},"page":"88643-88655","source":"Crossref","is-referenced-by-count":37,"title":["Fractional Model of Couple Stress Fluid for Generalized Couette Flow: A Comparative Analysis of Atangana\u2013Baleanu and Caputo\u2013Fabrizio Fractional Derivatives"],"prefix":"10.1109","volume":"7","author":[{"given":"Muhammad","family":"Arif","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9454-265X","authenticated-orcid":false,"given":"Farhad","family":"Ali","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2080-1695","authenticated-orcid":false,"given":"Nadeem Ahmad","family":"Sheikh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ilyas","family":"Khan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5769-4320","authenticated-orcid":false,"given":"Kottakkaran Sooppy","family":"Nisar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","first-page":"157","article-title":"Rotational flow of second grade fluid with Caputo-Fabrizio fractional derivative in an annulus","volume":"8","author":"sadiq","year":"2018","journal-title":"J Appl Environ Biol Sci"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1515\/phys-2018-0028"},{"key":"ref33","article-title":"Fractional-order viscoelasticity (FOV): Constitutive development using the fractional calculus: First annual report","author":"freed","year":"2002"},{"key":"ref32","first-page":"438","article-title":"Image processing by means of a linear integro-differential equation","volume":"1","author":"cuesta","year":"2003","journal-title":"Proc 3rd IASTED Int Conf Vis Imag Image Process"},{"key":"ref31","article-title":"The fractional advection-dispersion equation: Development and application","author":"benson","year":"1998"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/1018044"},{"key":"ref37","first-page":"1","article-title":"A new definition of fractional derivative without singular kernel","volume":"1","author":"caputo","year":"2015","journal-title":"Fractional Differentiation Appl"},{"key":"ref36","first-page":"269","author":"magin","year":"2006","journal-title":"Fractional Calculus in Bioengineering"},{"key":"ref35","article-title":"Application of fractional-order derivatives to calculation of heat load intensity change in blast furnace walls","author":"podlubny","year":"1995"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/0888-3270(91)90016-X"},{"key":"ref28","volume":"111","author":"oldham","year":"1974","journal-title":"The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.12.066"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1981.1163636"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1166\/jon.2018.1546"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/S0301-679X(01)00064-0"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.fluiddyn.2007.04.001"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/s11012-010-9416-7"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.triboint.2004.09.001"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.11.021"},{"key":"ref23","first-page":"172","volume":"2","author":"wilcox","year":"1998","journal-title":"Turbulence Modeling for CFD"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(83)90006-2"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1115\/1.2831577"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1016\/j.aej.2014.06.005","article-title":"Analytical solutions of couple stress fluid flows with slip boundary conditions","volume":"53","author":"devakar","year":"2014","journal-title":"Alexandria Eng J"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.15388\/NA.2010.15.1.14362"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.20852\/ntmsci.2016422308"},{"key":"ref12","first-page":"22","article-title":"MHD free convection flow of couple stress fluid in a vertical porous layer","volume":"2","author":"sreenadh","year":"2011","journal-title":"Adv Appl Sci Res"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.jaubas.2013.01.004"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.15388\/NA.17.1.14077"},{"key":"ref15","first-page":"1","article-title":"Some new exact solutions to unsteady flow equations of incompressible couple stress fluid","volume":"6","author":"naeem","year":"2010","journal-title":"Journal of Applied Mathematics and Mechanics"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2014.04.006"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-014-0117-z"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2015.02.062"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/S0169-5983(03)00048-0"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1063\/1.1761925"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2018.02.020"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0043-1648(79)90123-6"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-82351-0"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7949(99)00080-2"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7403(82)90070-4"},{"key":"ref49","author":"gradshteyn","year":"2007","journal-title":"Table of Integrals Series and Products"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/S0301-679X(00)00147-X"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1080\/10652460310001600717"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2016-16401-3"},{"key":"ref48","author":"debnath","year":"2006","journal-title":"Integral Transforms and Their Applications"},{"key":"ref47","author":"lorenzo","year":"1999","journal-title":"Generalized functions for the fractional calculus"},{"key":"ref42","first-page":"948","article-title":"On the new fractional derivative and application to nonlinear Fisher&#x2019;s reaction&#x2013;diffusion equation","volume":"273","author":"atangana","year":"2016","journal-title":"Appl Math Comput"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1177\/1687814015613758"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2016.05.008"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2017.01.025"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8600701\/08753496.pdf?arnumber=8753496","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T01:32:36Z","timestamp":1643247156000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8753496\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"references-count":49,"URL":"https:\/\/doi.org\/10.1109\/access.2019.2925699","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019]]}}}