On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain

We consider some classes of space- and time-fractional telegraph equations in complex domain in sense of the Riemann-Liouville fractional operators for time and the Srivastava-Owa fractional operators for space. The existence and uniqueness of holomorphic solution are established. We illustrate our...

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Main Author: Rabha W. Ibrahim
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/703681
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author Rabha W. Ibrahim
author_facet Rabha W. Ibrahim
author_sort Rabha W. Ibrahim
collection DOAJ
description We consider some classes of space- and time-fractional telegraph equations in complex domain in sense of the Riemann-Liouville fractional operators for time and the Srivastava-Owa fractional operators for space. The existence and uniqueness of holomorphic solution are established. We illustrate our theoretical result by examples.
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institution Kabale University
issn 0972-6802
1758-4965
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-bffcf5f8c70543eeab6c8765beb05f952025-02-03T01:31:14ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/703681703681On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex DomainRabha W. Ibrahim0Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, MalaysiaWe consider some classes of space- and time-fractional telegraph equations in complex domain in sense of the Riemann-Liouville fractional operators for time and the Srivastava-Owa fractional operators for space. The existence and uniqueness of holomorphic solution are established. We illustrate our theoretical result by examples.http://dx.doi.org/10.1155/2012/703681
spellingShingle Rabha W. Ibrahim
On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain
Journal of Function Spaces and Applications
title On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain
title_full On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain
title_fullStr On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain
title_full_unstemmed On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain
title_short On Holomorphic Solution for Space- and Time-Fractional Telegraph Equations in Complex Domain
title_sort on holomorphic solution for space and time fractional telegraph equations in complex domain
url http://dx.doi.org/10.1155/2012/703681
work_keys_str_mv AT rabhawibrahim onholomorphicsolutionforspaceandtimefractionaltelegraphequationsincomplexdomain