An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions
In this paper, we consider the iterative algorithm for a boundary value problem of n-order fractional differential equation with mixed integral and multipoint boundary conditions. Using an iterative technique, we derive an existence result of the uniqueness of the positive solution, then construct t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/8898859 |
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| _version_ | 1832550153452519424 |
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| author | Jingjing Tan Xinguang Zhang Lishan Liu Yonghong Wu |
| author_facet | Jingjing Tan Xinguang Zhang Lishan Liu Yonghong Wu |
| author_sort | Jingjing Tan |
| collection | DOAJ |
| description | In this paper, we consider the iterative algorithm for a boundary value problem of n-order fractional differential equation with mixed integral and multipoint boundary conditions. Using an iterative technique, we derive an existence result of the uniqueness of the positive solution, then construct the iterative scheme to approximate the positive solution of the equation, and further establish some numerical results on the estimation of the convergence rate and the approximation error. |
| format | Article |
| id | doaj-art-8ebf87ae56af44b1b5c21632e3498502 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8ebf87ae56af44b1b5c21632e34985022025-02-03T06:07:37ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/88988598898859An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary ConditionsJingjing Tan0Xinguang Zhang1Lishan Liu2Yonghong Wu3School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaSchool of Mathematical and Informational Sciences, Yantai University, Yantai, Shandong 264005, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaIn this paper, we consider the iterative algorithm for a boundary value problem of n-order fractional differential equation with mixed integral and multipoint boundary conditions. Using an iterative technique, we derive an existence result of the uniqueness of the positive solution, then construct the iterative scheme to approximate the positive solution of the equation, and further establish some numerical results on the estimation of the convergence rate and the approximation error.http://dx.doi.org/10.1155/2021/8898859 |
| spellingShingle | Jingjing Tan Xinguang Zhang Lishan Liu Yonghong Wu An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions Complexity |
| title | An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions |
| title_full | An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions |
| title_fullStr | An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions |
| title_full_unstemmed | An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions |
| title_short | An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions |
| title_sort | iterative algorithm for solving n order fractional differential equation with mixed integral and multipoint boundary conditions |
| url | http://dx.doi.org/10.1155/2021/8898859 |
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