Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term
We prove that there are unique positive solutions for a new kind of fractional differential equation with a negatively perturbed term boundary value problem. Our methods rely on an iterative algorithm which requires constructing an iterative scheme to approximate the solution. This allows us to calc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5747425 |
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| _version_ | 1849685656287051776 |
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| author | Jingjing Tan Meixia Li Aixia Pan |
| author_facet | Jingjing Tan Meixia Li Aixia Pan |
| author_sort | Jingjing Tan |
| collection | DOAJ |
| description | We prove that there are unique positive solutions for a new kind of fractional differential equation with a negatively perturbed term boundary value problem. Our methods rely on an iterative algorithm which requires constructing an iterative scheme to approximate the solution. This allows us to calculate the estimation of the convergence rate and the approximation error. |
| format | Article |
| id | doaj-art-bea13e833e6743adb087d4864b86a3ec |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bea13e833e6743adb087d4864b86a3ec2025-08-20T03:23:02ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/57474255747425Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed TermJingjing Tan0Meixia Li1Aixia Pan2School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaSchool of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaSchool of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaWe prove that there are unique positive solutions for a new kind of fractional differential equation with a negatively perturbed term boundary value problem. Our methods rely on an iterative algorithm which requires constructing an iterative scheme to approximate the solution. This allows us to calculate the estimation of the convergence rate and the approximation error.http://dx.doi.org/10.1155/2020/5747425 |
| spellingShingle | Jingjing Tan Meixia Li Aixia Pan Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term Journal of Function Spaces |
| title | Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term |
| title_full | Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term |
| title_fullStr | Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term |
| title_full_unstemmed | Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term |
| title_short | Uniqueness of Iterative Positive Solution to Nonlinear Fractional Differential Equations with Negatively Perturbed Term |
| title_sort | uniqueness of iterative positive solution to nonlinear fractional differential equations with negatively perturbed term |
| url | http://dx.doi.org/10.1155/2020/5747425 |
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