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ORIGINAL PAPER
Analytical Solution of a Fractional Model of Fluid Flow Through Narrowing System in Terms of Mittag-Leffler Function
1
Department of Mathematics, Arya Institute of Engineering and Technology, Kukus, Jaipur-302028, Rajasthan, India
2
Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
3
Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Online publication date: 2020-03-12
Publication date: 2020-03-01
International Journal of Applied Mechanics and Engineering 2020;25(1):1-11
KEYWORDS
narrowing systemgeneralized Caputo fractional derivativeSumudu transformfinite Hankel transformBessel functionMittag-Leffler function
ABSTRACT
In this work, we discuss a fractional model of a flow equation in a simple pipeline. Pipeline narrowing is a crucial aspect in drinking water distribution processes, sewage system and in oil-well schemes. The solution of the mathematical model is determined with the aid of the Sumudu transform and finite Hankel transform. The results derived in the current study are in compact and graceful forms in terms of the Mittag-Leffler type function, which are convenient for numerical and theoretical evaluation.
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