Ulam Stability for Fractional Differential Equation in Complex Domain
The present paper deles with a fractional differential equation zαDzαu(z)+zu'(z)+(z2-a2)u(z)=∑n=0∞anzn+α, 1<α≤2, where z∈U:={z:|z|<1} in sense of Srivastava-Owa fractional operators. The existence and uniqueness of holomorphic solutions are established. Ulam stability for the approximatio...
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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/10.1155/2012/649517 |
| Summary: | The present paper deles with a fractional differential equation zαDzαu(z)+zu'(z)+(z2-a2)u(z)=∑n=0∞anzn+α, 1<α≤2, where z∈U:={z:|z|<1} in sense of Srivastava-Owa fractional operators. The existence and uniqueness of holomorphic solutions are established. Ulam stability for the approximation and holomorphic solutions are suggested. |
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| ISSN: | 1085-3375 1687-0409 |