Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels

Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractiona...

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Autores principales:	Nazish Iftikhar, Fatima Javed, Muhammad Bilal Riaz, Muhammad Abbas, Abdullah M. Alsharif, Y. S. Hamed
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Maxwell fluid MHD Fractional-order derivatives Laplace transform Newtonian heating Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2c08fa18d3fe4b7396c7a978564672c5
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spelling	oai:doaj.org-article:2c08fa18d3fe4b7396c7a978564672c52021-11-28T12:08:25ZRole of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels10.1186/s13662-021-03658-51687-1847https://doaj.org/article/2c08fa18d3fe4b7396c7a978564672c52021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03658-5https://doaj.org/toc/1687-1847Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transforms. The change in the momentum profile due to variability in the values of parameters is graphically illustrated for all three C, CF and ABC models. The ABC model has proficiently revealed a memory effect.Nazish IftikharFatima JavedMuhammad Bilal RiazMuhammad AbbasAbdullah M. AlsharifY. S. HamedSpringerOpenarticleMaxwell fluidMHDFractional-order derivativesLaplace transformNewtonian heatingMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-20 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Maxwell fluid MHD Fractional-order derivatives Laplace transform Newtonian heating Mathematics QA1-939
spellingShingle	Maxwell fluid MHD Fractional-order derivatives Laplace transform Newtonian heating Mathematics QA1-939 Nazish Iftikhar Fatima Javed Muhammad Bilal Riaz Muhammad Abbas Abdullah M. Alsharif Y. S. Hamed Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
description	Abstract The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transforms. The change in the momentum profile due to variability in the values of parameters is graphically illustrated for all three C, CF and ABC models. The ABC model has proficiently revealed a memory effect.
format	article
author	Nazish Iftikhar Fatima Javed Muhammad Bilal Riaz Muhammad Abbas Abdullah M. Alsharif Y. S. Hamed
author_facet	Nazish Iftikhar Fatima Javed Muhammad Bilal Riaz Muhammad Abbas Abdullah M. Alsharif Y. S. Hamed
author_sort	Nazish Iftikhar
title	Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
title_short	Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
title_full	Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
title_fullStr	Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
title_full_unstemmed	Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
title_sort	role of newtonian heating on a maxwell fluid via special functions: memory impact of local and nonlocal kernels
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/2c08fa18d3fe4b7396c7a978564672c5
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Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels

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