Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method

The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler function, which are suitable for numerical...

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Main Authors:	Choudhary Anupama, Kumar Devendra, Singh Jagdev
Format:	Article
Language:	English
Published:	De Gruyter 2014-09-01
Series:	Nonlinear Engineering
Subjects:	fractional-order differential equations riemann-liouvile fractional integrals mittag-leffler function wright function; binomial series gamma function sumudu transform of the fractional derivative
Online Access:	https://doi.org/10.1515/nleng-2014-0007

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spelling	doaj-1d722467be8341288c55d3b6232128bd2021-09-06T19:21:06ZengDe GruyterNonlinear Engineering2192-80102192-80292014-09-013313313910.1515/nleng-2014-0007Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform methodChoudhary Anupama0Kumar Devendra1Singh Jagdev2Department of Mathematics, Arya College of Engineering and Research Centre, Jaipur-302028, Rajasthan, India Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur-302022, Rajasthan, India Department of Mathematics, Jagan Nath Gupta Institute of Engineering and Technology, Jaipur-302022, Rajasthan, India The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler function, which are suitable for numerical computation. The results obtain by the Sumudu transform method indicate that the approach is easy to implement and computationally very attractive.https://doi.org/10.1515/nleng-2014-0007fractional-order differential equationsriemann-liouvile fractional integralsmittag-leffler functionwright function; binomial seriesgamma functionsumudu transform of the fractional derivative
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Choudhary Anupama Kumar Devendra Singh Jagdev
spellingShingle	Choudhary Anupama Kumar Devendra Singh Jagdev Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method Nonlinear Engineering fractional-order differential equations riemann-liouvile fractional integrals mittag-leffler function wright function; binomial series gamma function sumudu transform of the fractional derivative
author_facet	Choudhary Anupama Kumar Devendra Singh Jagdev
author_sort	Choudhary Anupama
title	Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method
title_short	Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method
title_full	Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method
title_fullStr	Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method
title_full_unstemmed	Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method
title_sort	analytical solution of fractional differential equations arising in fluid mechanics by using sumudu transform method
publisher	De Gruyter
series	Nonlinear Engineering
issn	2192-8010 2192-8029
publishDate	2014-09-01
description	The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler function, which are suitable for numerical computation. The results obtain by the Sumudu transform method indicate that the approach is easy to implement and computationally very attractive.
topic	fractional-order differential equations riemann-liouvile fractional integrals mittag-leffler function wright function; binomial series gamma function sumudu transform of the fractional derivative
url	https://doi.org/10.1515/nleng-2014-0007
work_keys_str_mv	AT choudharyanupama analyticalsolutionoffractionaldifferentialequationsarisinginfluidmechanicsbyusingsumudutransformmethod AT kumardevendra analyticalsolutionoffractionaldifferentialequationsarisinginfluidmechanicsbyusingsumudutransformmethod AT singhjagdev analyticalsolutionoffractionaldifferentialequationsarisinginfluidmechanicsbyusingsumudutransformmethod
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Analytical Solution of Fractional Differential Equations arising in Fluid Mechanics by using Sumudu transform method

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