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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-bffcf5f8c70543eeab6c8765beb05f95 |
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 |