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Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models

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Department of Science Education, Ahmadu Bello University, Zaria 810221, Nigeria
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Department of Mathematics, Sokoto State University, Sokoto 840001, Nigeria
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Department of Mathematics, Federal University Dutse, Jigawa 720001, Nigeria
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Canter for Satellite Technology Development, National Space Research and Development Agency, Abuja 900001, Nigeria
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Author to whom correspondence should be addressed.
Fractal Fract 2018, 2(2), 18; https://doi.org/10.3390/fractalfract2020018
Received: 5 April 2018 / Revised: 21 May 2018 / Accepted: 24 May 2018 / Published: 27 May 2018
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
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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.

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