A class of nonlocal problems of fractional differential equations with composition of derivative and parameters
Abstract In this paper, we study existence and nonexistence of positive solutions for a class of Riemann–Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fixed point index theory, some new sufficient conditions for the existence of at leas...
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| Language: | English |
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SpringerOpen
2019-07-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2181-6 |
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doaj-bc04f62c171f43039358b0ffa3ab45382020-11-25T03:36:43ZengSpringerOpenAdvances in Difference Equations1687-18472019-07-012019112610.1186/s13662-019-2181-6A class of nonlocal problems of fractional differential equations with composition of derivative and parametersMei Jia0Lin Li1Xiping Liu2Junqiu Song3Zhanbing Bai4College of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyCollege of Mathematics and System Science, Shandong University of Science and TechnologyAbstract In this paper, we study existence and nonexistence of positive solutions for a class of Riemann–Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fixed point index theory, some new sufficient conditions for the existence of at least one, two and the nonexistence of positive solutions are obtained. The results we obtain show the influence of parameter λ and parameter a on the existence of positive solutions. Finally, some examples are given to illustrate our main results.http://link.springer.com/article/10.1186/s13662-019-2181-6Riemann–Liouville fractional derivativeRiemann–Stieltjes integral boundary conditionsDisturbance parameterFixed point theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mei Jia Lin Li Xiping Liu Junqiu Song Zhanbing Bai |
| spellingShingle |
Mei Jia Lin Li Xiping Liu Junqiu Song Zhanbing Bai A class of nonlocal problems of fractional differential equations with composition of derivative and parameters Advances in Difference Equations Riemann–Liouville fractional derivative Riemann–Stieltjes integral boundary conditions Disturbance parameter Fixed point theorem |
| author_facet |
Mei Jia Lin Li Xiping Liu Junqiu Song Zhanbing Bai |
| author_sort |
Mei Jia |
| title |
A class of nonlocal problems of fractional differential equations with composition of derivative and parameters |
| title_short |
A class of nonlocal problems of fractional differential equations with composition of derivative and parameters |
| title_full |
A class of nonlocal problems of fractional differential equations with composition of derivative and parameters |
| title_fullStr |
A class of nonlocal problems of fractional differential equations with composition of derivative and parameters |
| title_full_unstemmed |
A class of nonlocal problems of fractional differential equations with composition of derivative and parameters |
| title_sort |
class of nonlocal problems of fractional differential equations with composition of derivative and parameters |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2019-07-01 |
| description |
Abstract In this paper, we study existence and nonexistence of positive solutions for a class of Riemann–Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fixed point index theory, some new sufficient conditions for the existence of at least one, two and the nonexistence of positive solutions are obtained. The results we obtain show the influence of parameter λ and parameter a on the existence of positive solutions. Finally, some examples are given to illustrate our main results. |
| topic |
Riemann–Liouville fractional derivative Riemann–Stieltjes integral boundary conditions Disturbance parameter Fixed point theorem |
| url |
http://link.springer.com/article/10.1186/s13662-019-2181-6 |
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