Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters
Abstract The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed point theorem, some existence theorems of positive solutions are obtained in term...
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2021
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oai:doaj.org-article:2b9a607bc5d8413395e920f16713012d2021-11-21T12:06:49ZExistence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters10.1186/s13662-021-03650-z1687-1847https://doaj.org/article/2b9a607bc5d8413395e920f16713012d2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03650-zhttps://doaj.org/toc/1687-1847Abstract The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed point theorem, some existence theorems of positive solutions are obtained in terms of different values of parameters. Two examples are given to illustrate the main results.Yang ChenHongyu LiSpringerOpenarticleFixed point theoremFractional differential equationPositive solutionMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021) |
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DOAJ |
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DOAJ |
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EN |
| topic |
Fixed point theorem Fractional differential equation Positive solution Mathematics QA1-939 |
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Fixed point theorem Fractional differential equation Positive solution Mathematics QA1-939 Yang Chen Hongyu Li Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters |
| description |
Abstract The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed point theorem, some existence theorems of positive solutions are obtained in terms of different values of parameters. Two examples are given to illustrate the main results. |
| format |
article |
| author |
Yang Chen Hongyu Li |
| author_facet |
Yang Chen Hongyu Li |
| author_sort |
Yang Chen |
| title |
Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters |
| title_short |
Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters |
| title_full |
Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters |
| title_fullStr |
Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters |
| title_full_unstemmed |
Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters |
| title_sort |
existence of positive solutions for a system of nonlinear caputo type fractional differential equations with two parameters |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/2b9a607bc5d8413395e920f16713012d |
| work_keys_str_mv |
AT yangchen existenceofpositivesolutionsforasystemofnonlinearcaputotypefractionaldifferentialequationswithtwoparameters AT hongyuli existenceofpositivesolutionsforasystemofnonlinearcaputotypefractionaldifferentialequationswithtwoparameters |
| _version_ |
1718419234886778880 |