Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations
In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The proof of the main result is based on Gatica–Oliker–Waltman fixed-point...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6692592 |
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| _version_ | 1832546835968819200 |
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| author | Ping Yu Hongju Li Jian Ding Yanli Ma |
| author_facet | Ping Yu Hongju Li Jian Ding Yanli Ma |
| author_sort | Ping Yu |
| collection | DOAJ |
| description | In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The proof of the main result is based on Gatica–Oliker–Waltman fixed-point theorem. At last, an example is given to illustrate our main conclusion. |
| format | Article |
| id | doaj-art-d095c11ae97e4667ac3eca7d67c28c92 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d095c11ae97e4667ac3eca7d67c28c922025-02-03T06:47:03ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66925926692592Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential EquationsPing Yu0Hongju Li1Jian Ding2Yanli Ma3Department of General Education, Anhui Xinhua University, Hefei 230088, ChinaDepartment of General Education, Anhui Xinhua University, Hefei 230088, ChinaDepartment of General Education, Anhui Xinhua University, Hefei 230088, ChinaDepartment of General Education, Anhui Xinhua University, Hefei 230088, ChinaIn this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The proof of the main result is based on Gatica–Oliker–Waltman fixed-point theorem. At last, an example is given to illustrate our main conclusion.http://dx.doi.org/10.1155/2021/6692592 |
| spellingShingle | Ping Yu Hongju Li Jian Ding Yanli Ma Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations Journal of Mathematics |
| title | Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations |
| title_full | Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations |
| title_fullStr | Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations |
| title_full_unstemmed | Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations |
| title_short | Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations |
| title_sort | boundary value problems of nonlinear mixed type fractional differential equations |
| url | http://dx.doi.org/10.1155/2021/6692592 |
| work_keys_str_mv | AT pingyu boundaryvalueproblemsofnonlinearmixedtypefractionaldifferentialequations AT hongjuli boundaryvalueproblemsofnonlinearmixedtypefractionaldifferentialequations AT jianding boundaryvalueproblemsofnonlinearmixedtypefractionaldifferentialequations AT yanlima boundaryvalueproblemsofnonlinearmixedtypefractionaldifferentialequations |