Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions
Existence and uniqueness of solutions for α∈(2,3] order fractional differential equations with three-point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. The results are obtained by using fixed poi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/198632 |
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| _version_ | 1832552075664293888 |
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| author | N. I. Mahmudov S. Unul |
| author_facet | N. I. Mahmudov S. Unul |
| author_sort | N. I. Mahmudov |
| collection | DOAJ |
| description | Existence and uniqueness of solutions for α∈(2,3] order fractional differential equations with three-point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. The results are obtained by using fixed point theorems. Two examples are given to illustrate the results. |
| format | Article |
| id | doaj-art-4403fd5685664e149abbd4a95e5c30e7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4403fd5685664e149abbd4a95e5c30e72025-02-03T05:59:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/198632198632Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral ConditionsN. I. Mahmudov0S. Unul1Eastern Mediterranean University, Gazimagusa, Mersin 10, TurkeyEastern Mediterranean University, Gazimagusa, Mersin 10, TurkeyExistence and uniqueness of solutions for α∈(2,3] order fractional differential equations with three-point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. The results are obtained by using fixed point theorems. Two examples are given to illustrate the results.http://dx.doi.org/10.1155/2014/198632 |
| spellingShingle | N. I. Mahmudov S. Unul Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions Abstract and Applied Analysis |
| title | Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions |
| title_full | Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions |
| title_fullStr | Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions |
| title_full_unstemmed | Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions |
| title_short | Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions |
| title_sort | existence of solutions of α∈ 2 3 order fractional three point boundary value problems with integral conditions |
| url | http://dx.doi.org/10.1155/2014/198632 |
| work_keys_str_mv | AT nimahmudov existenceofsolutionsofa23orderfractionalthreepointboundaryvalueproblemswithintegralconditions AT sunul existenceofsolutionsofa23orderfractionalthreepointboundaryvalueproblemswithintegralconditions |