The Uniqueness of Positive Solution for Higher-Order Nonlinear Fractional Differential Equation With Fractional Multi-Point Boundary Conditions

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:2 Issue:2
The Uniqueness of Positive Solution for Higher-Order Nonlinear Fractional Differential Equation With...

The Uniqueness of Positive Solution for Higher-Order Nonlinear Fractional Differential Equation With Fractional Multi-Point Boundary Conditions

Authors : Bouteraa Noureddine, Slimane BENAİCHA

Pages : 74-84

Doi:10.31197/atnaa.403249

View : 44 | Download : 8

Publication Date : 2018-06-30

Article Type : Research Paper

Abstract : In this paper, we apply the iterative method to establish the ex istence of the positive solution for a type of nonlinear singular higher-order fractional differential equation with fractional multi-point boundary condi tions. Explicit iterative sequences are given to approximate the solutions and the error estimations are also given. The result is illustrated with an example.
Keywords : Positive Solution, Uniqueness, Iterative sequence

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