{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T22:55:33Z","timestamp":1768690533913,"version":"3.49.0"},"reference-count":44,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,9,9]],"date-time":"2023-09-09T00:00:00Z","timestamp":1694217600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"King Saud University","award":["RSPD2023R650"],"award-info":[{"award-number":["RSPD2023R650"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The ultimate goal of the article is the analysis of free convective flow of an MHD Maxwell fluid over a porous plate. The study focuses on understanding the dynamics of fluid flow over a moving plate in the presence of a magnetic field, where the magnetic lines of force can either be stationary or in motion along the plate. Further, we will investigate the heat and mass transfer characteristics of the system under specific conditions: constant species and thermal conductivity as functions of time. The study involves a symmetric temperature distribution that provides heat on both sides of the plane. Our analysis includes the study of the model for different instances of plate motion and variations in temperature. The fluid dynamics of the system are mathematically described using a system of fractional-order partial differential equations. To make the model independent of geometric units, dimensionless variables are introduced. Moreover, we employ the concept of fractional-order derivative operators in the sense of Caputo, which introduces a fractional dimension to the equations. Additionally, the integral Laplace transform and numerical algorithms are utilized to solve the problem. Finally, by using graphical analysis the contribution of physical parameters on the fluid dynamics is discussed and valuable findings are documented.<\/jats:p>","DOI":"10.3390\/sym15091731","type":"journal-article","created":{"date-parts":[[2023,9,11]],"date-time":"2023-09-11T09:00:52Z","timestamp":1694422852000},"page":"1731","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["MHD Free Convection Flows for Maxwell Fluids over a Porous Plate via Novel Approach of Caputo Fractional Model"],"prefix":"10.3390","volume":"15","author":[{"given":"Khadeja","family":"Aslam","sequence":"first","affiliation":[{"name":"Department of Mathematics, Government College University, Lahore 54000, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3825-0446","authenticated-orcid":false,"given":"Azhar Ali","family":"Zafar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Government College University, Lahore 54000, Pakistan"}]},{"given":"Nehad Ali","family":"Shah","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6220-4373","authenticated-orcid":false,"given":"Bander","family":"Almutairi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyad 11451, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1615\/JPorMedia.v11.i4.50","article-title":"Some MHD flows of second grade fluid throgh the prous medium","volume":"11","author":"Khan","year":"2008","journal-title":"J. Porous Media"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1093","DOI":"10.1007\/s11012-010-9368-y","article-title":"Magnetrohydrodynamics (MHD) flow of a second grade fluid in a channel with porous wall","volume":"46","author":"Parida","year":"2011","journal-title":"Meccanica"},{"key":"ref_3","first-page":"423","article-title":"Natural convection heat and mass transfer in MHD fluid flow past a moving vertical plate with veriable surface temperature and concentration in a porous medium","volume":"18","author":"Javaherdeh","year":"2015","journal-title":"Eng. Sci. Technol. Int. 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