Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces
The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed point results for the contractions in complete...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2024-0081 |
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| _version_ | 1850116333058916352 |
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| author | Wang Chao |
| author_facet | Wang Chao |
| author_sort | Wang Chao |
| collection | DOAJ |
| description | The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed point results for the contractions in complete metric spaces. Finally, our results are applied to consider the existence, uniqueness and approximation of common solutions for two classes of nonlinear fractional differential equations. |
| format | Article |
| id | doaj-art-7fab52ca91864fa2af42d272dc6575ea |
| institution | OA Journals |
| issn | 2391-4661 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-7fab52ca91864fa2af42d272dc6575ea2025-08-20T02:36:20ZengDe GruyterDemonstratio Mathematica2391-46612024-12-01571717610.1515/dema-2024-0081Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spacesWang Chao0School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, ChinaThe problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed point results for the contractions in complete metric spaces. Finally, our results are applied to consider the existence, uniqueness and approximation of common solutions for two classes of nonlinear fractional differential equations.https://doi.org/10.1515/dema-2024-0081common fixed pointa pair of (α, θ)-type contractionsexistence and uniquenessnonlinear fractional differential equations54h2547h0947h10 |
| spellingShingle | Wang Chao Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces Demonstratio Mathematica common fixed point a pair of (α, θ)-type contractions existence and uniqueness nonlinear fractional differential equations 54h25 47h09 47h10 |
| title | Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces |
| title_full | Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces |
| title_fullStr | Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces |
| title_full_unstemmed | Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces |
| title_short | Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces |
| title_sort | solving nonlinear fractional differential equations by common fixed point results for a pair of α θ type contractions in metric spaces |
| topic | common fixed point a pair of (α, θ)-type contractions existence and uniqueness nonlinear fractional differential equations 54h25 47h09 47h10 |
| url | https://doi.org/10.1515/dema-2024-0081 |
| work_keys_str_mv | AT wangchao solvingnonlinearfractionaldifferentialequationsbycommonfixedpointresultsforapairofathtypecontractionsinmetricspaces |