Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems
In this paper, we consider a class of fractional differential equations with conjugate type integral conditions. Both the existence of uniqueness and nonexistence of positive solution are obtained by means of the iterative technique. The interesting point lies in that the assumption on nonlinearity...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/1547293 |
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| _version_ | 1832561118181064704 |
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| author | Yongqing Wang |
| author_facet | Yongqing Wang |
| author_sort | Yongqing Wang |
| collection | DOAJ |
| description | In this paper, we consider a class of fractional differential equations with conjugate type integral conditions. Both the existence of uniqueness and nonexistence of positive solution are obtained by means of the iterative technique. The interesting point lies in that the assumption on nonlinearity is closely associated with the spectral radius corresponding to the relevant linear operator. |
| format | Article |
| id | doaj-art-dcf1cd5b0412439cb37d903cb614c221 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dcf1cd5b0412439cb37d903cb614c2212025-02-03T01:25:53ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/15472931547293Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value ProblemsYongqing Wang0School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaIn this paper, we consider a class of fractional differential equations with conjugate type integral conditions. Both the existence of uniqueness and nonexistence of positive solution are obtained by means of the iterative technique. The interesting point lies in that the assumption on nonlinearity is closely associated with the spectral radius corresponding to the relevant linear operator.http://dx.doi.org/10.1155/2018/1547293 |
| spellingShingle | Yongqing Wang Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems Journal of Function Spaces |
| title | Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems |
| title_full | Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems |
| title_fullStr | Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems |
| title_full_unstemmed | Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems |
| title_short | Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems |
| title_sort | existence of uniqueness and nonexistence results of positive solution for fractional differential equations integral boundary value problems |
| url | http://dx.doi.org/10.1155/2018/1547293 |
| work_keys_str_mv | AT yongqingwang existenceofuniquenessandnonexistenceresultsofpositivesolutionforfractionaldifferentialequationsintegralboundaryvalueproblems |