Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions
We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using t...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/290674 |
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| _version_ | 1832558817398751232 |
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| author | Mohamed I. Abbas |
| author_facet | Mohamed I. Abbas |
| author_sort | Mohamed I. Abbas |
| collection | DOAJ |
| description | We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results. |
| format | Article |
| id | doaj-art-a3c5dfc821044458a1d4af8a515833bc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a3c5dfc821044458a1d4af8a515833bc2025-02-03T01:31:29ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/290674290674Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary ConditionsMohamed I. Abbas0Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria 21511, EgyptWe prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results.http://dx.doi.org/10.1155/2015/290674 |
| spellingShingle | Mohamed I. Abbas Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions Abstract and Applied Analysis |
| title | Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions |
| title_full | Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions |
| title_fullStr | Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions |
| title_full_unstemmed | Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions |
| title_short | Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions |
| title_sort | existence and uniqueness results for fractional differential equations with riemann liouville fractional integral boundary conditions |
| url | http://dx.doi.org/10.1155/2015/290674 |
| work_keys_str_mv | AT mohamediabbas existenceanduniquenessresultsforfractionaldifferentialequationswithriemannliouvillefractionalintegralboundaryconditions |