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An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions

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  • Jingjing Tan
  • Xinguang Zhang
  • Lishan Liu
  • Yonghong Wu
  • Mostafa M. A. Khater

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.

Suggested Citation

  • Jingjing Tan & Xinguang Zhang & Lishan Liu & Yonghong Wu & Mostafa M. A. Khater, 2021. "An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions," Complexity, Hindawi, vol. 2021, pages 1-10, January.
    • Handle: RePEc:hin:complx:8898859
    DOI: 10.1155/2021/8898859
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