Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions
We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. Our results are based on some classical fixed point theorems. Some illustrative examples are also...
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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/10.1155/2014/902054 |
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| author | Phollakrit Thiramanus Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Phollakrit Thiramanus Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Phollakrit Thiramanus |
| collection | DOAJ |
| description | We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. Our results are based on some classical fixed point theorems. Some illustrative examples are also included. |
| format | Article |
| id | doaj-art-b93300f2d3544cb38faa6914d97361c8 |
| 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-b93300f2d3544cb38faa6914d97361c82025-02-03T01:20:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/902054902054Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary ConditionsPhollakrit Thiramanus0Sotiris K. Ntouyas1Jessada Tariboon2Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandWe study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. Our results are based on some classical fixed point theorems. Some illustrative examples are also included.http://dx.doi.org/10.1155/2014/902054 |
| spellingShingle | Phollakrit Thiramanus Sotiris K. Ntouyas Jessada Tariboon Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions Abstract and Applied Analysis |
| title | Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions |
| title_full | Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions |
| title_fullStr | Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions |
| title_full_unstemmed | Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions |
| title_short | Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions |
| title_sort | existence and uniqueness results for hadamard type fractional differential equations with nonlocal fractional integral boundary conditions |
| url | http://dx.doi.org/10.1155/2014/902054 |
| work_keys_str_mv | AT phollakritthiramanus existenceanduniquenessresultsforhadamardtypefractionaldifferentialequationswithnonlocalfractionalintegralboundaryconditions AT sotiriskntouyas existenceanduniquenessresultsforhadamardtypefractionaldifferentialequationswithnonlocalfractionalintegralboundaryconditions AT jessadatariboon existenceanduniquenessresultsforhadamardtypefractionaldifferentialequationswithnonlocalfractionalintegralboundaryconditions |