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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Vydáno v:Complexity (New York, N.Y.) Ročník 2021; číslo 1
Hlavní autoři: Tan, Jingjing, Zhang, Xinguang, Liu, Lishan, Wu, Yonghong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Hindawi 2021
John Wiley & Sons, Inc
Wiley
Témata:
Algorithms
Boundary conditions
Boundary value problems
Differential equations
Integrals
Iterative algorithms
Iterative methods
Methods
Variables
ISSN:1076-2787, 1099-0526
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Popis
Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1076-2787
1099-0526
DOI:10.1155/2021/8898859