Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments
This paper concerns on two types of integral boundary value problems of a nonlinear fractional differential system, i.e., nonlocal strip integral boundary value problems and coupled integral boundary value problems. With the aid of the monotone iterative method combined with the upper and lower solu...
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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/10.1155/2021/6650811 |
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| _version_ | 1850235070719197184 |
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| author | Jungang Chen Xi Qin |
| author_facet | Jungang Chen Xi Qin |
| author_sort | Jungang Chen |
| collection | DOAJ |
| description | This paper concerns on two types of integral boundary value problems of a nonlinear fractional differential system, i.e., nonlocal strip integral boundary value problems and coupled integral boundary value problems. With the aid of the monotone iterative method combined with the upper and lower solutions, the existence of extremal system of solutions for the above two types of differential systems is investigated. In addition, a new comparison theorem for fractional differential system is also established, which is crucial for the proof of the main theorem of this paper. At the end, an example explaining how our studies can be used is also given. |
| format | Article |
| id | doaj-art-0f35ef7dc2eb458c82dad6ada69e7e90 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0f35ef7dc2eb458c82dad6ada69e7e902025-08-20T02:02:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66508116650811Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating ArgumentsJungang Chen0Xi Qin1Faculty of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, ChinaPingshun Bureau of Statistics, Changzhi 047400, ChinaThis paper concerns on two types of integral boundary value problems of a nonlinear fractional differential system, i.e., nonlocal strip integral boundary value problems and coupled integral boundary value problems. With the aid of the monotone iterative method combined with the upper and lower solutions, the existence of extremal system of solutions for the above two types of differential systems is investigated. In addition, a new comparison theorem for fractional differential system is also established, which is crucial for the proof of the main theorem of this paper. At the end, an example explaining how our studies can be used is also given.http://dx.doi.org/10.1155/2021/6650811 |
| spellingShingle | Jungang Chen Xi Qin Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments Journal of Mathematics |
| title | Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments |
| title_full | Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments |
| title_fullStr | Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments |
| title_full_unstemmed | Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments |
| title_short | Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments |
| title_sort | monotone iterative method for two types of integral boundary value problems of a nonlinear fractional differential system with deviating arguments |
| url | http://dx.doi.org/10.1155/2021/6650811 |
| work_keys_str_mv | AT jungangchen monotoneiterativemethodfortwotypesofintegralboundaryvalueproblemsofanonlinearfractionaldifferentialsystemwithdeviatingarguments AT xiqin monotoneiterativemethodfortwotypesofintegralboundaryvalueproblemsofanonlinearfractionaldifferentialsystemwithdeviatingarguments |