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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Veröffentlicht in:Complexity (New York, N.Y.) Jg. 2021; H. 1
Hauptverfasser: Tan, Jingjing, Zhang, Xinguang, Liu, Lishan, Wu, Yonghong
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hoboken Hindawi 2021
John Wiley & Sons, Inc
Wiley
Schlagworte:
Algorithms
Boundary conditions
Boundary value problems
Differential equations
Integrals
Iterative algorithms
Iterative methods
Methods
Variables
ISSN:1076-2787, 1099-0526
Online-Zugang:Volltext
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Zusammenfassung: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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1076-2787
1099-0526
DOI:10.1155/2021/8898859