Creator:

Kumar, Devendra ; Choudhary, Anupama ; Singh, Jagdev

Contributor:

Jurczak, Paweł - red.

Title:

Analytical solution of a fractional model of fluid flow through narrowing system in terms of mittag-leffler function

Group publication title:

IJAME, volume 25 (2020)

Subject and Keywords:

narrowing system ; generalized Caputo fractional derivative ; Sumudu transform ; finite Hankel transform ; Bessel function ; Mittag-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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2020

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.2478/ijame-2020-0001

Pages:

1-11

Source:

IJAME, volume 25, number 1 (2020)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego