Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk
We prove the Ulam-Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non-linear cases. The fractional operators are taken in sense of Srivastava-Owa operators.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/613270 |
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doaj-dafcf00f92854c8f952e850bea66ac0d2020-11-24T22:38:44ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/613270613270Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit DiskRabha W. Ibrahim0Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, MalaysiaWe prove the Ulam-Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non-linear cases. The fractional operators are taken in sense of Srivastava-Owa operators.http://dx.doi.org/10.1155/2012/613270 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rabha W. Ibrahim |
| spellingShingle |
Rabha W. Ibrahim Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk Abstract and Applied Analysis |
| author_facet |
Rabha W. Ibrahim |
| author_sort |
Rabha W. Ibrahim |
| title |
Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk |
| title_short |
Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk |
| title_full |
Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk |
| title_fullStr |
Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk |
| title_full_unstemmed |
Ulam-Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk |
| title_sort |
ulam-hyers stability for cauchy fractional differential equation in the unit disk |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
We prove the Ulam-Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non-linear cases. The fractional operators are taken in sense of Srivastava-Owa operators. |
| url |
http://dx.doi.org/10.1155/2012/613270 |
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AT rabhawibrahim ulamhyersstabilityforcauchyfractionaldifferentialequationintheunitdisk |
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