Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions
Topological techniques are used to establish existence results for a class of fractional differential equations Dαx(t)=f(t,x(t),Dα-1x(t)), with one of the following boundary value conditions: x(0)=A and Dα-1x(1)=B or Dα-1x(0)=A and x(1)=B, where 1<α≤2 is a real number, Dαx(t) is the conformable f...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1465623 |
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| _version_ | 1850158359440785408 |
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| author | Limei He Xiaoyu Dong Zhanbing Bai Bo Chen |
| author_facet | Limei He Xiaoyu Dong Zhanbing Bai Bo Chen |
| author_sort | Limei He |
| collection | DOAJ |
| description | Topological techniques are used to establish existence results for a class of fractional differential equations Dαx(t)=f(t,x(t),Dα-1x(t)), with one of the following boundary value conditions: x(0)=A and Dα-1x(1)=B or Dα-1x(0)=A and x(1)=B, where 1<α≤2 is a real number, Dαx(t) is the conformable fractional derivative, and f:[0,1]×R2→R is continuous. The main conditions on the nonlinear term f are sign conditions (i.e., the barrier strip conditions). The topological arguments are based on the topological transversality theorem. |
| format | Article |
| id | doaj-art-63d6430e2f844b0081f67f1fd72d953b |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-63d6430e2f844b0081f67f1fd72d953b2025-08-20T02:23:53ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/14656231465623Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip ConditionsLimei He0Xiaoyu Dong1Zhanbing Bai2Bo Chen3College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaTopological techniques are used to establish existence results for a class of fractional differential equations Dαx(t)=f(t,x(t),Dα-1x(t)), with one of the following boundary value conditions: x(0)=A and Dα-1x(1)=B or Dα-1x(0)=A and x(1)=B, where 1<α≤2 is a real number, Dαx(t) is the conformable fractional derivative, and f:[0,1]×R2→R is continuous. The main conditions on the nonlinear term f are sign conditions (i.e., the barrier strip conditions). The topological arguments are based on the topological transversality theorem.http://dx.doi.org/10.1155/2017/1465623 |
| spellingShingle | Limei He Xiaoyu Dong Zhanbing Bai Bo Chen Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions Journal of Function Spaces |
| title | Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions |
| title_full | Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions |
| title_fullStr | Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions |
| title_full_unstemmed | Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions |
| title_short | Solvability of Some Two-Point Fractional Boundary Value Problems under Barrier Strip Conditions |
| title_sort | solvability of some two point fractional boundary value problems under barrier strip conditions |
| url | http://dx.doi.org/10.1155/2017/1465623 |
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