Next Article in Journal
Fractional Dynamics
Previous Article in Journal
Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input
Article Menu

Export Article

Open AccessArticle
Fractal Fract 2018, 2(2), 18; https://doi.org/10.3390/fractalfract2020018

Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models

1
Department of Science Education, Ahmadu Bello University, Zaria 810221, Nigeria
2
Department of Mathematics, Sokoto State University, Sokoto 840001, Nigeria
3
Department of Mathematics, Federal University Dutse, Jigawa 720001, Nigeria
4
Canter for Satellite Technology Development, National Space Research and Development Agency, Abuja 900001, Nigeria
*
Author to whom correspondence should be addressed.
Received: 5 April 2018 / Revised: 21 May 2018 / Accepted: 24 May 2018 / Published: 27 May 2018
Full-Text   |   PDF [401 KB, uploaded 29 May 2018]   |  

Abstract

In this paper, we provide solutions to the general fractional Caputo-type differential equation models for the dynamics of a sphere immersed in an incompressible viscous fluid and oscillatory process with fractional damping using Laplace transform method. We study the effects of fixing one of the fractional indices while varying the other as particular examples. We conclude this article by explaining the dynamics of the solutions of the models. View Full-Text
Keywords: Caputo derivative; fluid flow; Laplace transform; Mittag-Leffler function; wright function Caputo derivative; fluid flow; Laplace transform; Mittag-Leffler function; wright function
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Zakariya, Y.F.; Afolabi, Y.O.; Nuruddeen, R.I.; Sarumi, I.O. Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models. Fractal Fract 2018, 2, 18.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fractal Fract EISSN 2504-3110 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top