A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Gree...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/7057910 |
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| _version_ | 1832549554279415808 |
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| author | Wafa Shammakh |
| author_facet | Wafa Shammakh |
| author_sort | Wafa Shammakh |
| collection | DOAJ |
| description | Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Green’s function are obtained. Example is presented to illustrate the main results. |
| format | Article |
| id | doaj-art-f5ba18202df54ed998c08f673bdbb92e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f5ba18202df54ed998c08f673bdbb92e2025-02-03T06:11:02ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/70579107057910A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary ConditionsWafa Shammakh0Faculty of Science, King Abdulaziz University, AL Faisaliah Campus, Jeddah, Saudi ArabiaExistence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. The related Green’s function for the boundary value problem is given, and some useful properties of Green’s function are obtained. Example is presented to illustrate the main results.http://dx.doi.org/10.1155/2016/7057910 |
| spellingShingle | Wafa Shammakh A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions Journal of Function Spaces |
| title | A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions |
| title_full | A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions |
| title_fullStr | A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions |
| title_full_unstemmed | A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions |
| title_short | A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions |
| title_sort | study of caputo hadamard type fractional differential equations with nonlocal boundary conditions |
| url | http://dx.doi.org/10.1155/2016/7057910 |
| work_keys_str_mv | AT wafashammakh astudyofcaputohadamardtypefractionaldifferentialequationswithnonlocalboundaryconditions AT wafashammakh studyofcaputohadamardtypefractionaldifferentialequationswithnonlocalboundaryconditions |