Analytical solutions to fractional fluid flow and oscillatory process models

Yusuf F. Zakariya; Yusuf O. Afolabi; Rahmatullah I. Nuruddeen; Ibrahim O. Sarumi

doi:10.3390/fractalfract2020018

Analytical solutions to fractional fluid flow and oscillatory process models

Yusuf F. Zakariya^*
, Yusuf O. Afolabi
, Rahmatullah I. Nuruddeen
, Ibrahim O. Sarumi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Article number	18
Pages (from-to)	1-12
Number of pages	12
Journal	Fractal and Fractional
Volume	2
Issue number	2
DOIs	https://doi.org/10.3390/fractalfract2020018
State	Published - 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 by the authors. Licensee MDPI, Basel, Switzerland.

Keywords

Caputo derivative
Fluid flow
Laplace transform
Mittag-Leffler function
Wright function

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistical and Nonlinear Physics

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10.3390/fractalfract2020018

Cite this

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title = "Analytical solutions to fractional fluid flow and oscillatory process models",

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.",

keywords = "Caputo derivative, Fluid flow, Laplace transform, Mittag-Leffler function, Wright function",

author = "Zakariya, \{Yusuf F.\} and Afolabi, \{Yusuf O.\} and Nuruddeen, \{Rahmatullah I.\} and Sarumi, \{Ibrahim O.\}",

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doi = "10.3390/fractalfract2020018",

language = "English",

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T1 - Analytical solutions to fractional fluid flow and oscillatory process models

AU - Zakariya, Yusuf F.

AU - Afolabi, Yusuf O.

AU - Nuruddeen, Rahmatullah I.

AU - Sarumi, Ibrahim O.

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Caputo derivative

KW - Fluid flow

KW - Laplace transform

KW - Mittag-Leffler function

KW - Wright function

UR - https://www.scopus.com/pages/publications/85061298640

U2 - 10.3390/fractalfract2020018

DO - 10.3390/fractalfract2020018

M3 - Article

AN - SCOPUS:85061298640

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SP - 1

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JO - Fractal and Fractional

JF - Fractal and Fractional

IS - 2

M1 - 18

ER -

Analytical solutions to fractional fluid flow and oscillatory process models

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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