Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order
The initial-boundary value problem for partial differential equations of higher-order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right-hand side of the equation are established...
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| Main Authors: | , |
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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/10.1155/2012/973102 |
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| _version_ | 1849467404267028480 |
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| author | Djumaklych Amanov Allaberen Ashyralyev |
| author_facet | Djumaklych Amanov Allaberen Ashyralyev |
| author_sort | Djumaklych Amanov |
| collection | DOAJ |
| description | The initial-boundary value problem for partial differential equations of higher-order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right-hand side of the equation are established. |
| format | Article |
| id | doaj-art-deed8b79a13d4c7da7d31e69fe22ea9c |
| 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-deed8b79a13d4c7da7d31e69fe22ea9c2025-08-20T03:26:15ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/973102973102Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher OrderDjumaklych Amanov0Allaberen Ashyralyev1Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences, 29 Do'rmon yo'li street, Tashkent 100047, UzbekistanDepartment of Mathematics, Fatih University, 34500 Buyucekmece, Istanbul, TurkeyThe initial-boundary value problem for partial differential equations of higher-order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right-hand side of the equation are established.http://dx.doi.org/10.1155/2012/973102 |
| spellingShingle | Djumaklych Amanov Allaberen Ashyralyev Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order Abstract and Applied Analysis |
| title | Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order |
| title_full | Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order |
| title_fullStr | Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order |
| title_full_unstemmed | Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order |
| title_short | Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order |
| title_sort | initial boundary value problem for fractional partial differential equations of higher order |
| url | http://dx.doi.org/10.1155/2012/973102 |
| work_keys_str_mv | AT djumaklychamanov initialboundaryvalueproblemforfractionalpartialdifferentialequationsofhigherorder AT allaberenashyralyev initialboundaryvalueproblemforfractionalpartialdifferentialequationsofhigherorder |