Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions
Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. Meanwhile, two examples are worked out to illustrate the appli...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/6703860 |
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| _version_ | 1832561743221489664 |
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| author | Tingting Qi Yansheng Liu Yujun Cui |
| author_facet | Tingting Qi Yansheng Liu Yujun Cui |
| author_sort | Tingting Qi |
| collection | DOAJ |
| description | Applying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. Meanwhile, two examples are worked out to illustrate the application of the main results. |
| format | Article |
| id | doaj-art-f1f8518f75e246a39515e6d3ed9b2700 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f1f8518f75e246a39515e6d3ed9b27002025-02-03T01:24:25ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/67038606703860Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary ConditionsTingting Qi0Yansheng Liu1Yujun Cui2School of Mathematics and Statistics, Shandong Normal University, Jinan, Shandong 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan, Shandong 250014, ChinaDepartment of Mathematics, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaApplying Schauder fixed point theorem and Leray-Schauder nonlinear alternative theory, this paper is concerned with the existence of solutions to coupled fractional differential systems with fractional integral boundary value conditions. Meanwhile, two examples are worked out to illustrate the application of the main results.http://dx.doi.org/10.1155/2017/6703860 |
| spellingShingle | Tingting Qi Yansheng Liu Yujun Cui Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions Journal of Function Spaces |
| title | Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions |
| title_full | Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions |
| title_fullStr | Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions |
| title_full_unstemmed | Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions |
| title_short | Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions |
| title_sort | existence of solutions for a class of coupled fractional differential systems with nonlocal boundary conditions |
| url | http://dx.doi.org/10.1155/2017/6703860 |
| work_keys_str_mv | AT tingtingqi existenceofsolutionsforaclassofcoupledfractionaldifferentialsystemswithnonlocalboundaryconditions AT yanshengliu existenceofsolutionsforaclassofcoupledfractionaldifferentialsystemswithnonlocalboundaryconditions AT yujuncui existenceofsolutionsforaclassofcoupledfractionaldifferentialsystemswithnonlocalboundaryconditions |