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.

Details

Title
Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels
Author
Nazish, Iftikhar 1 ; Javed Fatima 2 ; Riaz Muhammad Bilal 3 ; Abbas, Muhammad 4   VIAFID ORCID Logo  ; Alsharif, Abdullah M 5 ; Hamed, Y S 5 

1  National University of Computer and Emerging Sciences, Department of Science & Humanities, Lahore Campus, Pakistan (GRID:grid.444797.d) (ISNI:0000 0004 0371 6725) 
2  University of Lahore, Department of Mathematics, Lahore, Pakistan (GRID:grid.440564.7) (ISNI:0000 0001 0415 4232) 
3  University of the Free State, Institute for Groundwater Studies (IGS), Bloemfontein, South Africa (GRID:grid.412219.d) (ISNI:0000 0001 2284 638X); University of Management and Technology, Department of Mathematics, Lahore, Pakistan (GRID:grid.444940.9); Lodz University of Technology, Department of Automation, Biomechanics and Mechatronics, Lodz, Poland (GRID:grid.412284.9) (ISNI:0000 0004 0620 0652) 
4  University of Sargodha, Department of Mathematics, Sargodha, Pakistan (GRID:grid.412782.a) (ISNI:0000 0004 0609 4693) 
5  Taif University, Department of Mathematics and Statistics, College of Science, Taif, Saudi Arabia (GRID:grid.412895.3) (ISNI:0000 0004 0419 5255) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03658-5
ProQuest document ID
2600110112
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.