Stokes’ first problem for heated flat plate with Atangana–Baleanu fractional derivative

Ndolane Sene

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 68-75

Abstract: In this paper, we investigate on the exact solutions of the Stokes’ first problem for generalized second grade fluid with a new fractional derivative operator. The Riemann–Liouville and the Caputo fractional derivative are substituted by the Atangana–Baleanu fractional derivative in the Stokes’ first fractional differential equation. With the Laplace transform given by the Atangana–Baleanu fractional derivative operator, we give for the Stokes’ first fractional differential equations the exact solutions for the velocity and temperature field. The Fourier sine transform and the Laplace transform will be used to get the exact solutions of the Stokes’ first fractional differential equations. The solutions of the Stokes’ first differential equations for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, are obtained in limiting cases, and an approach with the graphical surfaces representations for the exact solutions is proposed.

Keywords: Stokes’ first problem; Atangana–Baleanu fractional derivative; Newtonian fluid (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077918306568
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:68-75

DOI: 10.1016/j.chaos.2018.10.014

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().