A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions
We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/818703 |
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| _version_ | 1850237887480594432 |
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| author | Bashir Ahmad Sotiris K. Ntouyas |
| author_facet | Bashir Ahmad Sotiris K. Ntouyas |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | We consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed. |
| format | Article |
| id | doaj-art-1dcb16f8bf4d4a6f8cbd96b06e6a4901 |
| 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-1dcb16f8bf4d4a6f8cbd96b06e6a49012025-08-20T02:01:39ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/818703818703A Note on Fractional Differential Equations with Fractional Separated Boundary ConditionsBashir Ahmad0Sotiris K. Ntouyas1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceWe consider a new class of boundary value problems of nonlinear fractional differential equations with fractional separated boundary conditions. A connection between classical separated and fractional separated boundary conditions is developed. Some new existence and uniqueness results are obtained for this class of problems by using standard fixed point theorems. Some illustrative examples are also discussed.http://dx.doi.org/10.1155/2012/818703 |
| spellingShingle | Bashir Ahmad Sotiris K. Ntouyas A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions Abstract and Applied Analysis |
| title | A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions |
| title_full | A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions |
| title_fullStr | A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions |
| title_full_unstemmed | A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions |
| title_short | A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions |
| title_sort | note on fractional differential equations with fractional separated boundary conditions |
| url | http://dx.doi.org/10.1155/2012/818703 |
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