Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations

Double Laplace transform method is applied to find exact solutions of linear/nonlinear space-time fractional telegraph equations in terms of Mittag-Leffler functions subject to initial and boundary conditions. Furthermore, we give illustrative examples to demonstrate the efficiency of the method.

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Bibliographic Details
Main Authors: Ranjit R. Dhunde, G. L. Waghmare
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2016/1414595
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author Ranjit R. Dhunde
G. L. Waghmare
author_facet Ranjit R. Dhunde
G. L. Waghmare
author_sort Ranjit R. Dhunde
collection DOAJ
description Double Laplace transform method is applied to find exact solutions of linear/nonlinear space-time fractional telegraph equations in terms of Mittag-Leffler functions subject to initial and boundary conditions. Furthermore, we give illustrative examples to demonstrate the efficiency of the method.
format Article
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1687-0425
language English
publishDate 2016-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2bc04d11345e4f8499fdbeea25c86c572025-08-20T02:04:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/14145951414595Double Laplace Transform Method for Solving Space and Time Fractional Telegraph EquationsRanjit R. Dhunde0G. L. Waghmare1Department of Mathematics, Datta Meghe Institute of Engineering Technology and Research, Wardha, IndiaDepartment of Mathematics, Government Science College, Gadchiroli, IndiaDouble Laplace transform method is applied to find exact solutions of linear/nonlinear space-time fractional telegraph equations in terms of Mittag-Leffler functions subject to initial and boundary conditions. Furthermore, we give illustrative examples to demonstrate the efficiency of the method.http://dx.doi.org/10.1155/2016/1414595
spellingShingle Ranjit R. Dhunde
G. L. Waghmare
Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations
International Journal of Mathematics and Mathematical Sciences
title Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations
title_full Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations
title_fullStr Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations
title_full_unstemmed Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations
title_short Double Laplace Transform Method for Solving Space and Time Fractional Telegraph Equations
title_sort double laplace transform method for solving space and time fractional telegraph equations
url http://dx.doi.org/10.1155/2016/1414595
work_keys_str_mv AT ranjitrdhunde doublelaplacetransformmethodforsolvingspaceandtimefractionaltelegraphequations
AT glwaghmare doublelaplacetransformmethodforsolvingspaceandtimefractionaltelegraphequations