Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions
In this paper, we study the solvability of a class of nonlinear multiorder Caputo fractional differential equations with integral and antiperiodic boundary conditions. By using some fixed point theorems including the Banach contraction mapping principle and Schaefer’s fixed point theorem, we obtain...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/1212040 |
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| _version_ | 1832550876710961152 |
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| author | HuiChol Choi YongSim Sin KumSong Jong |
| author_facet | HuiChol Choi YongSim Sin KumSong Jong |
| author_sort | HuiChol Choi |
| collection | DOAJ |
| description | In this paper, we study the solvability of a class of nonlinear multiorder Caputo fractional differential equations with integral and antiperiodic boundary conditions. By using some fixed point theorems including the Banach contraction mapping principle and Schaefer’s fixed point theorem, we obtain new existence and uniqueness results for our given problem. Also, we give some examples to illustrate our main results. |
| format | Article |
| id | doaj-art-f19e3eba6bc14819900419e69e5ec71d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f19e3eba6bc14819900419e69e5ec71d2025-02-03T06:05:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/12120401212040Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary ConditionsHuiChol Choi0YongSim Sin1KumSong Jong2Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaIn this paper, we study the solvability of a class of nonlinear multiorder Caputo fractional differential equations with integral and antiperiodic boundary conditions. By using some fixed point theorems including the Banach contraction mapping principle and Schaefer’s fixed point theorem, we obtain new existence and uniqueness results for our given problem. Also, we give some examples to illustrate our main results.http://dx.doi.org/10.1155/2020/1212040 |
| spellingShingle | HuiChol Choi YongSim Sin KumSong Jong Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions Journal of Applied Mathematics |
| title | Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions |
| title_full | Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions |
| title_fullStr | Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions |
| title_full_unstemmed | Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions |
| title_short | Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions |
| title_sort | existence results for nonlinear multiorder fractional differential equations with integral and antiperiodic boundary conditions |
| url | http://dx.doi.org/10.1155/2020/1212040 |
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