Complex Transforms for Systems of Fractional Differential Equations
We provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations are studied. Moreover, the existence and unique...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/814759 |
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| _version_ | 1850235231472189440 |
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| author | Rabha W. Ibrahim |
| author_facet | Rabha W. Ibrahim |
| author_sort | Rabha W. Ibrahim |
| collection | DOAJ |
| description | We provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations are studied. Moreover, the existence and uniqueness of solutions are established and applications are illustrated. |
| format | Article |
| id | doaj-art-10f29db3652a41c0a3e2eb81a7b3b95d |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-10f29db3652a41c0a3e2eb81a7b3b95d2025-08-20T02:02:20ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/814759814759Complex Transforms for Systems of Fractional Differential EquationsRabha W. Ibrahim0Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, MalaysiaWe provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations are studied. Moreover, the existence and uniqueness of solutions are established and applications are illustrated.http://dx.doi.org/10.1155/2012/814759 |
| spellingShingle | Rabha W. Ibrahim Complex Transforms for Systems of Fractional Differential Equations Abstract and Applied Analysis |
| title | Complex Transforms for Systems of Fractional Differential Equations |
| title_full | Complex Transforms for Systems of Fractional Differential Equations |
| title_fullStr | Complex Transforms for Systems of Fractional Differential Equations |
| title_full_unstemmed | Complex Transforms for Systems of Fractional Differential Equations |
| title_short | Complex Transforms for Systems of Fractional Differential Equations |
| title_sort | complex transforms for systems of fractional differential equations |
| url | http://dx.doi.org/10.1155/2012/814759 |
| work_keys_str_mv | AT rabhawibrahim complextransformsforsystemsoffractionaldifferentialequations |