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

• Published in: Advances in difference equations Vol. 2021; no. 1; pp. 1 - 20
• Main Authors: Iftikhar, Nazish, Javed, Fatima, Riaz, Muhammad Bilal, Abbas, Muhammad, Alsharif, Abdullah M., Hamed, Y. S.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 21-11-2021; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Difference and Functional Equations; Difference Equations; Fluid flow; Fractional-order derivatives; Functional Analysis; Heating; Laplace transform; Laplace transforms; Magnetohydrodynamics; Mathematics; Mathematics and Statistics; Maxwell fluid; Maxwell fluids; MHD; Momentum; Newtonian heating; Ordinary Differential Equations; Partial Differential Equations; Special Functions and Orthogonal Polynomials; MHD; Newtonian heating; Laplace transform; Fractional-order derivatives; Maxwell fluid
• ISSN: 1687-1847; 1687-1839; 1687-1847
• DOI: 10.1186/s13662-021-03658-5

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.