{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T18:30:13Z","timestamp":1770748213560,"version":"3.49.0"},"reference-count":48,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2019,11,5]],"date-time":"2019-11-05T00:00:00Z","timestamp":1572912000000},"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 key objective of the study under concern is to probe the impacts of Brownian motion and thermophoresis diffusion on Casson nanofluid boundary layer flow over a nonlinear inclined stretching sheet, with the effect of convective boundaries and thermal radiations. Nonlinear ordinary differential equations are obtained from governing nonlinear partial differential equations by using compatible similarity transformations. The quantities associated with engineering aspects, such as skin friction, Sherwood number, and heat exchange along with various impacts of material factors on the momentum, temperature, and concentration, are elucidated and clarified with diagrams. The numerical solution of the present study is obtained via the Keller-box technique and in limiting sense are reduced to the published results for accuracy purpose.<\/jats:p>","DOI":"10.3390\/sym11111370","type":"journal-article","created":{"date-parts":[[2019,11,5]],"date-time":"2019-11-05T06:47:57Z","timestamp":1572936477000},"page":"1370","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Keller-Box Analysis of Buongiorno Model with Brownian and Thermophoretic Diffusion for Casson Nanofluid over an Inclined Surface"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5656-9613","authenticated-orcid":false,"given":"Khuram","family":"Rafique","sequence":"first","affiliation":[{"name":"School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia"}]},{"given":"Muhammad","family":"Imran Anwar","sequence":"additional","affiliation":[{"name":"School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia"},{"name":"Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha 40411, Pakistan"},{"name":"Higher Education Department (HED), Punjab, Pakistan"}]},{"given":"Masnita","family":"Misiran","sequence":"additional","affiliation":[{"name":"School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, Malaysia"}]},{"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"}]},{"given":"Sayer O.","family":"Alharbi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia"}]},{"given":"Phatiphat","family":"Thounthong","sequence":"additional","affiliation":[{"name":"Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering Faculty of Technical Education King Mongkut\u2019s University of Technology North Bangkok, 1518, Pracharat 1 Rd., Bangsue, Bangkok 10800, Thailand"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5769-4320","authenticated-orcid":false,"given":"Kottakkaran Sooppy","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"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,5]]},"reference":[{"key":"ref_1","first-page":"012047","article-title":"Diffusive effects on hydrodynamic Casson nanofluid boundary layer flow over a stretching surface","volume":"Volume 890","author":"Anwar","year":"2017","journal-title":"Journal of Physics: Conference Series"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3804751","DOI":"10.1155\/2017\/3804751","article-title":"The influence of slip boundary condition on Casson nanofluid flow over a stretching sheet in the presence of viscous dissipation and chemical reaction","volume":"2017","author":"Afify","year":"2017","journal-title":"Math. 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