Boundary value problems for fractional differential equation with causal operators
In this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to de...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2016-01-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.21042/AMNS.2016.1.00002 |
| _version_ | 1811272161940209664 |
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| author | Jiang Jingfei Cao Dengqing Chen Huatao |
| author_facet | Jiang Jingfei Cao Dengqing Chen Huatao |
| author_sort | Jiang Jingfei |
| collection | DOAJ |
| description | In this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to demonstrate the validity of assumptions and theoretical results. |
| first_indexed | 2024-04-12T22:35:18Z |
| format | Article |
| id | doaj.art-c5cd9494e94f4c0593ebf2dd3aad0cb5 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-04-12T22:35:18Z |
| publishDate | 2016-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-c5cd9494e94f4c0593ebf2dd3aad0cb52022-12-22T03:13:53ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562016-01-0111112210.21042/AMNS.2016.1.00002Boundary value problems for fractional differential equation with causal operatorsJiang Jingfei0Cao Dengqing1Chen Huatao2Division of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China P RDivision of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China P RDivision of Dynamics and Control, School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China P RIn this paper, we study the two-point boundary value problems for fractional differential equation with causal operator. By lower and upper solution method and the monotone iterative technique, some results for the extremal solution and quasisolutions are obtained. At last, an example is given to demonstrate the validity of assumptions and theoretical results.https://doi.org/10.21042/AMNS.2016.1.00002fractional differential equationcausal operatorboundary value problemslower and upper solutionextremal solution and quasisolutions.34b1534a45 |
| spellingShingle | Jiang Jingfei Cao Dengqing Chen Huatao Boundary value problems for fractional differential equation with causal operators Applied Mathematics and Nonlinear Sciences fractional differential equation causal operator boundary value problems lower and upper solution extremal solution and quasisolutions. 34b15 34a45 |
| title | Boundary value problems for fractional differential equation with causal operators |
| title_full | Boundary value problems for fractional differential equation with causal operators |
| title_fullStr | Boundary value problems for fractional differential equation with causal operators |
| title_full_unstemmed | Boundary value problems for fractional differential equation with causal operators |
| title_short | Boundary value problems for fractional differential equation with causal operators |
| title_sort | boundary value problems for fractional differential equation with causal operators |
| topic | fractional differential equation causal operator boundary value problems lower and upper solution extremal solution and quasisolutions. 34b15 34a45 |
| url | https://doi.org/10.21042/AMNS.2016.1.00002 |
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