Research Article Generalized Thermal Flux Flow for Jeffrey Fluid with Fourier Law over an Infinite Plate Muhammad Imran Asjad, 1 Abdul Basit , 1 Ali Akg¨ ul , 2 and Taseer Muhammad 3 1 Department of Mathematics, University of Management and Technology Lahore, Lahore 54770, Pakistan 2 Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey 3 Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia CorrespondenceshouldbeaddressedtoAliAkg¨ ul;aliakgul@siirt.edu.tr Received 30 June 2021; Accepted 28 August 2021; Published 13 September 2021 AcademicEditor:FahdJarad Copyright © 2021 Muhammad Imran Asjad et al. is is an open access article distributed under the Creative Commons AttributionLicense,whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedtheoriginalworkis properly cited. eunsteadyflowofJeffreyfluidalongwithaverticalplateisstudiedinthispaper.eequationsofmomentum,energy,and generalizedFourier’slawofthermalfluxaretransformedtonon-dimensionalformfortheproperdimensionlessparameters.e Prabhakarfractionaloperatorisappliedtoacquirethefractionalmodelusingtheconstitutiveequations.Toobtainthegeneralized resultsforvelocityandtemperaturedistribution,Laplacetransformisperformed.einfluencesoffractionalparameters α, β, c, thermalGrashofnumberGr,andnon-dimensionalPrandtlnumberPruponvelocityandtemperaturedistributionarepresented graphically.eresultsareimprovedintheformofdecayofenergyandmomentumequations,respectively.enewfractional parametercontainstheMittag-Lefflerkernelwiththreefractionalparameterswhichareresponsibleforbettermemoryofthefluid properties rather than the exponential kernel appearing in the Caputo–Fabrizio fractional operator. e Prabhakar fractional operator has advantage over Caputo–Fabrizio in the real data fitting where needed. 1. Introduction Non-Newtonian fluids have recently become more appro- priate for technical and scientific applications than New- tonianfluids.Becausethehighlynon-linearbehaviorofnon- Newtonian fluid has a complex character, the use of non- Newtonian fluids in industries is more complicated. e studyofnon-Newtonianfluidhasgotmuchattentioninthe disciplineofscienceandengineeringduetotheirvastrange ofindustrialapplications,productionofpolymers,chemical industry, lubricant performance, food processing, and bi- ologicalfluidmovement.Todescribetheviscousbehaviorof thesefluids,variousapproacheswerepresented.Asubclass of these fluids, namely, Jeffrey fluid, has attracted a lot of attention in the last few years. Because its constitutive equationcanbereducedtothatoftheNewtonianmodelasa specificcase,theJeffreymodelisconsideredasanextension ofthewidelyusedNewtonianfluidmodel.eJeffreyfluid model can represent the stress relaxation property of non- Newtonian fluids, but the viscous fluid model is unable to describethisphenomenon.einfluencesofrelaxationand retardation are demonstrated through the Jeffrey fluid. HayatandMustafa[1]examinedtheimpactofheattransfer on free convective flow of Jeffrey fluid through porous verticalstretchingsheet.Maqbooletal.[2]investigatedthe behavior of velocity and temperature profiles in a natural convection heat transfer of MHD Jeffrey fluid with a flat plate containing porous material using the Laplace trans- form. Aleem et al. [3] studied the MHD free convection transportofJeffreyfluidbetweentwowarmedverticalplates mountedinporousmediumundertheinfluenceofelectric field. Jeffrey fluid is not just a basic theoretical concept, but thisisalsousedtosolveavarietyofpracticaldifficulties,such as clay rotational motion and heart vessel pumping. Also, manyscientistsandresearcherslookedathowporosityand magnetic fields affected flow behavior in many forms of Jeffrey fluid. e Jeffrey model is a linear model that uses Hindawi Mathematical Problems in Engineering Volume 2021, Article ID 5403879, 9 pages https://doi.org/10.1155/2021/5403879