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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| Vydané v: | Complexity (New York, N.Y.) Ročník 2021; číslo 1 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Hoboken
Hindawi
2021
John Wiley & Sons, Inc Wiley |
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| ISSN: | 1076-2787, 1099-0526 |
| On-line prístup: | Získať plný text |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Tan, Jingjing Zhang, Xinguang Wu, Yonghong Liu, Lishan |
| Author_xml | – sequence: 1 givenname: Jingjing orcidid: 0000-0002-9941-0629 surname: Tan fullname: Tan, Jingjing organization: School of Mathematics and Information ScienceWeifang UniversityWeifangShandong 261061Chinawfu.edu.cn – sequence: 2 givenname: Xinguang orcidid: 0000-0001-9250-6823 surname: Zhang fullname: Zhang, Xinguang organization: School of Mathematical and Informational SciencesYantai UniversityYantaiShandong 264005Chinaytu.edu.cn – sequence: 3 givenname: Lishan orcidid: 0000-0001-8541-1017 surname: Liu fullname: Liu, Lishan organization: School of Mathematical SciencesQufu Normal UniversityQufu 273165ShandongChinaqfnu.edu.cn – sequence: 4 givenname: Yonghong orcidid: 0000-0003-1028-1785 surname: Wu fullname: Wu, Yonghong organization: Department of Mathematics and StatisticsCurtin University of TechnologyPerthWA 6845Australiacurtin.edu.au |
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| CitedBy_id | crossref_primary_10_3390_fractalfract6120738 crossref_primary_10_12677_AAM_2022_113154 |
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| Copyright | Copyright © 2021 Jingjing Tan et al. Copyright © 2021 Jingjing Tan et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| Snippet | In this paper, we consider the iterative algorithm for a boundary value problem of n-order fractional differential equation with mixed integral and multipoint... In this paper, we consider the iterative algorithm for a boundary value problem of n ‐order fractional differential equation with mixed integral and multipoint... |
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| SubjectTerms | Algorithms Boundary conditions Boundary value problems Differential equations Integrals Iterative algorithms Iterative methods Methods Variables |
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| Title | An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions |
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