Noureddine Bouteraa, Slimane Benaicha
Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran1, Ahmed Benbella, Algeria
In this paper, we apply the iterative method to establish the existence of a positive solution for a type of nonlinear singular higher-order fractional differential equation with fractional multi-point boundary conditions. Explicit iterative sequences are given to approximate the solutions, and error estimations are also provided. The result is illustrated with an example.
Keywords: Positive solution, uniqueness, iterative sequence, Green function.
Bouteraa, N., & Benaïcha, S. (2018). The uniqueness of positive solution for higher-order nonlinear fractional differential equation with fractional multi-point boundary conditions. Advances in the Theory of Nonlinear Analysis and Its Application, 2(2), 74–84.