A Note on the Inverse Problem for a Fractional Parabolic Equation
For a fractional inverse problem with an unknown time-dependent source term, stability estimates are obtained by using operator theory approach. For the approximate solutions of the problem, the stable difference schemes which have first and second orders of accuracy are presented. The algorithm is...
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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/10.1155/2012/276080 |
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| _version_ | 1832561312040747008 |
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| author | Abdullah Said Erdogan Hulya Uygun |
| author_facet | Abdullah Said Erdogan Hulya Uygun |
| author_sort | Abdullah Said Erdogan |
| collection | DOAJ |
| description | For a fractional inverse problem with an unknown time-dependent source term, stability estimates are obtained by using operator theory approach. For the approximate solutions of the problem, the stable difference schemes which have first and second orders of accuracy are presented. The algorithm is tested in a one-dimensional fractional inverse problem. |
| format | Article |
| id | doaj-art-b3da1ebb80494172a2757ae0aeca1790 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b3da1ebb80494172a2757ae0aeca17902025-02-03T01:25:28ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/276080276080A Note on the Inverse Problem for a Fractional Parabolic EquationAbdullah Said Erdogan0Hulya Uygun1Department of Mathematics, Fatih University, 34500 Buyukcekmece, Istanbul, TurkeyDepartment of Mathematics, Fatih University, 34500 Buyukcekmece, Istanbul, TurkeyFor a fractional inverse problem with an unknown time-dependent source term, stability estimates are obtained by using operator theory approach. For the approximate solutions of the problem, the stable difference schemes which have first and second orders of accuracy are presented. The algorithm is tested in a one-dimensional fractional inverse problem.http://dx.doi.org/10.1155/2012/276080 |
| spellingShingle | Abdullah Said Erdogan Hulya Uygun A Note on the Inverse Problem for a Fractional Parabolic Equation Abstract and Applied Analysis |
| title | A Note on the Inverse Problem for a Fractional Parabolic Equation |
| title_full | A Note on the Inverse Problem for a Fractional Parabolic Equation |
| title_fullStr | A Note on the Inverse Problem for a Fractional Parabolic Equation |
| title_full_unstemmed | A Note on the Inverse Problem for a Fractional Parabolic Equation |
| title_short | A Note on the Inverse Problem for a Fractional Parabolic Equation |
| title_sort | note on the inverse problem for a fractional parabolic equation |
| url | http://dx.doi.org/10.1155/2012/276080 |
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