Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models

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 fr...

Full description

Bibliographic Details
Main Authors:	Yusuf F. Zakariya, Yusuf O. Afolabi, Rahmatullah I. Nuruddeen, Ibrahim O. Sarumi
Format:	Article
Language:	English
Published:	MDPI AG 2018-05-01
Series:	Fractal and Fractional
Subjects:	Caputo derivative fluid flow Laplace transform Mittag-Leffler function wright function
Online Access:	http://www.mdpi.com/2504-3110/2/2/18

id	doaj-98c7c001c24a4bdb9493ab1f039410e3
record_format	Article
spelling	doaj-98c7c001c24a4bdb9493ab1f039410e32021-04-02T05:05:23ZengMDPI AGFractal and Fractional2504-31102018-05-01221810.3390/fractalfract2020018fractalfract2020018Analytical Solutions to Fractional Fluid Flow and Oscillatory Process ModelsYusuf F. Zakariya0Yusuf O. Afolabi1Rahmatullah I. Nuruddeen2Ibrahim O. Sarumi3Department of Science Education, Ahmadu Bello University, Zaria 810221, NigeriaDepartment of Mathematics, Sokoto State University, Sokoto 840001, NigeriaDepartment of Mathematics, Federal University Dutse, Jigawa 720001, NigeriaCanter for Satellite Technology Development, National Space Research and Development Agency, Abuja 900001, NigeriaIn 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.http://www.mdpi.com/2504-3110/2/2/18Caputo derivativefluid flowLaplace transformMittag-Leffler functionwright function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yusuf F. Zakariya Yusuf O. Afolabi Rahmatullah I. Nuruddeen Ibrahim O. Sarumi
spellingShingle	Yusuf F. Zakariya Yusuf O. Afolabi Rahmatullah I. Nuruddeen Ibrahim O. Sarumi Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models Fractal and Fractional Caputo derivative fluid flow Laplace transform Mittag-Leffler function wright function
author_facet	Yusuf F. Zakariya Yusuf O. Afolabi Rahmatullah I. Nuruddeen Ibrahim O. Sarumi
author_sort	Yusuf F. Zakariya
title	Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
title_short	Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
title_full	Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
title_fullStr	Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
title_full_unstemmed	Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
title_sort	analytical solutions to fractional fluid flow and oscillatory process models
publisher	MDPI AG
series	Fractal and Fractional
issn	2504-3110
publishDate	2018-05-01
description	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.
topic	Caputo derivative fluid flow Laplace transform Mittag-Leffler function wright function
url	http://www.mdpi.com/2504-3110/2/2/18
work_keys_str_mv	AT yusuffzakariya analyticalsolutionstofractionalfluidflowandoscillatoryprocessmodels AT yusufoafolabi analyticalsolutionstofractionalfluidflowandoscillatoryprocessmodels AT rahmatullahinuruddeen analyticalsolutionstofractionalfluidflowandoscillatoryprocessmodels AT ibrahimosarumi analyticalsolutionstofractionalfluidflowandoscillatoryprocessmodels
_version_	1724172750869757952

Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models

Similar Items