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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Bibliographic Details
Published in:Complexity (New York, N.Y.) Vol. 2021; no. 1
Main Authors: Tan, Jingjing, Zhang, Xinguang, Liu, Lishan, Wu, Yonghong
Format: Journal Article
Language:English
Published: Hoboken Hindawi 2021
John Wiley & Sons, Inc
Wiley
Subjects:
Algorithms
Boundary conditions
Boundary value problems
Differential equations
Integrals
Iterative algorithms
Iterative methods
Methods
Variables
ISSN:1076-2787, 1099-0526
Online Access:Get full text
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Summary: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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ISSN:1076-2787
1099-0526
DOI:10.1155/2021/8898859