On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay
In this paper, we study the multi-point boundary value problems for a new kind of piecewise differential equations with left and right fractional derivatives and delay. In this system, the state variables satisfy the different equations in different time intervals, and they interact with each other...
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Vilnius University Press
2021
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oai:doaj.org-article:89b936ca13ae42dcad765ce64a5a13fb2021-12-02T19:40:39ZOn the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay10.15388/namc.2021.26.246221392-51132335-8963https://doaj.org/article/89b936ca13ae42dcad765ce64a5a13fb2021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24622https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 In this paper, we study the multi-point boundary value problems for a new kind of piecewise differential equations with left and right fractional derivatives and delay. In this system, the state variables satisfy the different equations in different time intervals, and they interact with each other through positive and negative delay. Some new results on the existence, no-existence and multiplicity for the positive solutions of the boundary value problems are obtained by using Guo–Krasnoselskii’s fixed point theorem and Leggett–Williams fixed point theorem. The results for existence highlight the influence of perturbation parameters. Finally, an example is given out to illustrate our main results. Yuxin ZhangXiping LiuMei JiaVilnius University Pressarticleboundary value problempiecewise differential equationleft and right fractional derivativedelaydisturbance parameterfixed point theoremAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021) |
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DOAJ |
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DOAJ |
| language |
EN |
| topic |
boundary value problem piecewise differential equation left and right fractional derivative delay disturbance parameter fixed point theorem Analysis QA299.6-433 |
| spellingShingle |
boundary value problem piecewise differential equation left and right fractional derivative delay disturbance parameter fixed point theorem Analysis QA299.6-433 Yuxin Zhang Xiping Liu Mei Jia On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| description |
In this paper, we study the multi-point boundary value problems for a new kind of piecewise differential equations with left and right fractional derivatives and delay. In this system, the state variables satisfy the different equations in different time intervals, and they interact with each other through positive and negative delay. Some new results on the existence, no-existence and multiplicity for the positive solutions of the boundary value problems are obtained by using Guo–Krasnoselskii’s fixed point theorem and Leggett–Williams fixed point theorem. The results for existence highlight the influence of perturbation parameters. Finally, an example is given out to illustrate our main results.
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| format |
article |
| author |
Yuxin Zhang Xiping Liu Mei Jia |
| author_facet |
Yuxin Zhang Xiping Liu Mei Jia |
| author_sort |
Yuxin Zhang |
| title |
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| title_short |
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| title_full |
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| title_fullStr |
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| title_full_unstemmed |
On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| title_sort |
on the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay |
| publisher |
Vilnius University Press |
| publishDate |
2021 |
| url |
https://doaj.org/article/89b936ca13ae42dcad765ce64a5a13fb |
| work_keys_str_mv |
AT yuxinzhang ontheboundaryvalueproblemsofpiecewisedifferentialequationswithleftrightfractionalderivativesanddelay AT xipingliu ontheboundaryvalueproblemsofpiecewisedifferentialequationswithleftrightfractionalderivativesanddelay AT meijia ontheboundaryvalueproblemsofpiecewisedifferentialequationswithleftrightfractionalderivativesanddelay |
| _version_ |
1718376213543649280 |